Prof. Dr. Marian Aprodu

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietAlgebraische Geometrie,Kommutative Algebra
KeywordsCurves, Koszul Cohomology, Projective Curves and Varieties, Projective geometry, Vector Bundles

Aktuelle Kontaktadresse

LandRumänien
OrtBucharest
Universität/InstitutionUniversity of Bucharest
Institut/AbteilungDepartment of Mathematics
Websitewww.imar.ro/~aprodu

Gastgeber*innen während der Förderung

Prof. Dr. Thomas PeternellLehrstuhl Mathematik I - Komplexe Analysis, Universität Bayreuth, Bayreuth
Prof. Dr. Gavril FarkasInstitut für Mathematik, Humboldt-Universität zu Berlin, Berlin
Beginn der ersten Förderung01.11.2004

Programm(e)

2003Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

2020Aprodu, Marian and Kim, Yeongrak: On the Borisov-Nuer conjecture and the image of the Enriques-to-$K3$ map. In: Math. Nachr., 293, 2020, 1044--1052
2020Aprodu, Marian and Casnati, Gianfranco and Costa, Laura and Miro-Roig, Rosa Maria and Teixidor I Bigas, Montserrat: Theta divisors and Ulrich bundles on geometrically ruled surfaces. In: Ann. Mat. Pura Appl. (4), 199, 2020, 199--216
2019Aprodu, Marian and Bruno, Andrea and Sernesi, Edoardo: A characterization of bielliptic curves via syzygy schemes. In: J. Pure Appl. Algebra, 223, 2019, 4689--4700
2019Aprodu, Marian and Farkas, Gavril and Papadima, Stefan and Raicu, Claudiu and Weyman, Jerzy: Koszul modules and Green's conjecture. In: Invent. Math., 218, 2019, 657--720
2019Aprodu, M. and Huh, S. and Malaspina, F. and Pons-Llopis, J.: Ulrich bundles on smooth projective varieties of minimal degree. In: Proc. Amer. Math. Soc., 147, 2019, 5117--5129
2018Aprodu, Marian and Costa, Laura and Miro-Roig, Rosa Maria: Rank-two vector bundles on non-minimal ruled surfaces. In: Trans. Amer. Math. Soc., 370, 2018, 3913--3929
2018Aprodu, Marian and Costa, Laura and Miro-Roig, Rosa Maria: Ulrich bundles on ruled surfaces. In: J. Pure Appl. Algebra, 222, 2018, 131--138
2017Aprodu, Marian and Sernesi, Edoardo: Excess dimension for secant loci in symmetric products of curves. In: Collect. Math., 68, 2017, 1--7
2017Aprodu, Marian and Farkas, Gavril and Ortega, Angela: Minimal resolutions, Chow forms and Ulrich bundles on K3 surfaces. In: J. Reine Angew. Math., 730, 2017, 225--249
2017Aprodu, Marian and Vladoiu, Marius: Preface [Dedicated to Dorin Popescu in honour of his 70th birthday]. In: Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 60(108), 2017, 333--336
2017Aprodu, Marian and Kim, Yeongrak: Ulrich line bundles on {E}nriques surfaces with a polarization of degree four. In: Ann. Univ. Ferrara Sez. VII Sci. Mat., 63, 2017, 9--23
2016Aprodu, Marian and Lombardi, Luigi: On the vanishing of weight one Koszul cohomology of abelian varieties. In: Bull. Lond. Math. Soc., 48, 2016, 280--290
2016Aprodu, Marian and Marchitan, Marius: Prioritary omalous bundles on Hirzebruch surfaces. In: J. Geom. Phys., 99, 2016, 1--9
2016Aprodu, Marian and Farkas, Gavril and Ortega, Angela: Restricted Lazarsfeld-Mukai bundles and canonical curves. Development of moduli theory---Kyoto 2013. Math. Soc. Japan, [Tokyo], 2016. 303--322
2015Aprodu, Marian and Brinzanescu, Vasile: Foreword [Special issue dedicated to Professor Lucian Badescu on the occasion of his 70th birthday]. In: Rev. Roumaine Math. Pures Appl., 60, 2015, 1 unnumbered page
2015Monica Alice Aprodu, Marian Aprodu: Holomorphic vector bundles on Kähler manifolds and totally geodesic foliations on Euclidean open domains . In: Differential Geometry and its Applications, 2015, 10-19
2015Aprodu, Monica Alice and Aprodu, Marian: Holomorphic vector bundles on Kaehler manifolds and totally geodesic foliations on Euclidean open domains. In: Differential Geom. Appl., 39, 2015, 10--19
2015Aprodu, Marian and Sernesi, Edoardo: Secant spaces and syzygies of special line bundles on curves. In: Algebra Number Theory, 9, 2015, 585--600
2014Aprodu, Marian and Toma, Matei: Boundedness for some rationally connected threefolds in $\Bbb{P}^6$. In: Comm. Algebra, 42, 2014, 3876--3882
2014Aprodu, Marian: Lazarsfeld-Mukai bundles and applications: II. Bridging algebra, geometry, and topology. Springer, Cham, 2014. 11--20
2014Marian Aprodu: Lazarsfeld–Mukai Bundles and Applications: II. In: D. Ibadula, W. Veys, Bridging Algebra, Geometry, and Topology, Springer Proceedings in Mathematics & Statistics 96 . Springer, 2014. 11-20
2013Aprodu, Marian: Lazarsfeld-Mukai bundles and applications. Commutative algebra. Springer, New York, 2013. 1--23
2012Aprodu, Marian and Pacienza, Gianluca: Corrigendum and addendum to ``{T}he Green conjecture for exceptional curves on a K3 surface'' [MR2440326]. In: Int. Math. Res. Not. IMRN, 2012, 1195--1197
2012Aprodu, Marian and Farkas, Gavril: Green's conjecture for general covers. Compact moduli spaces and vector bundles. Amer. Math. Soc., Providence, RI, 2012. 211--226
2012Aprodu, Marian and Brinzanescu, Vasile and Marchitan, Marius: Rank-two vector bundles on Hirzebruch surfaces. In: Cent. Eur. J. Math., 10, 2012, 1321--1330
2012Aprodu, Marian and Moraru, Ruxandra and Toma, Matei: Two-dimensional moduli spaces of vector bundles over Kodaira surfaces. In: Adv. Math., 231, 2012, 1202--1215
2011Aprodu, Marian and Marchitan, Marius: A note on vector bundles on {H}irzebruch surfaces. In: C. R. Math. Acad. Sci. Paris, 349, 2011, 687--690
2011Aprodu, Marian and Farkas, Gavril: Green's conjecture for curves on arbitrary K3 surfaces. In: Compos. Math., 147, 2011, 839--851
2011Aprodu, Marian and Farkas, Gavril: Koszul cohomology and applications to moduli. Grassmannians, moduli spaces and vector bundles. Amer. Math. Soc., Providence, RI, 2011. 25--50
2010Aprodu, Marian and Naie, Daniel: Enriques diagrams and log-canonical thresholds of curves on smooth surfaces. In: Geom. Dedicata, 146, 2010, 43--66
2010Aprodu, Marian and Nagel, Jan: Koszul cohomology and algebraic geometry. American Mathematical Society, Providence, RI, 2010
2009Aprodu, Marian and Brinzanescu, Vasile: Beilinson type spectral sequences on scrolls. Moduli spaces and vector bundles. Cambridge Univ. Press, Cambridge, 2009. 426--436
2008Aprodu, Marian: Brill-{N}oether theory for curves on {$K3$} surfaces. Contemporary geometry and topology and related topics. Cluj Univ. Press, Cluj-Napoca, 2008. 1--12
2008Aprodu, Marian and Kebekus, Stefan and Peternell, Thomas: Galois coverings and endomorphisms of projective varieties. In: Math. Z., 260, 2008, 431--449
2008Marian Aprodu, Gianluca Pacienza: The Green Conjecture for Exceptional Curves on a K3 Surface. In: International Mathematics Research Notices: article ID rnn043, 2008, 1-25
2008Aprodu, Marian and Pacienza, Gianluca: The Green conjecture for exceptional curves on a K3 surface. In: Int. Math. Res. Not. IMRN, 2008, Art. ID rnn043, 25
2007Aprodu, Marian and Nagel, Jan: Non-vanishing for Koszul cohomology of curves. In: Comment. Math. Helv., 82, 2007, 617--628
2006Aprodu, Marian: Geometry of curves and Koszul cohomology. Modern trends in geometry and topology. Cluj Univ. Press, Cluj-Napoca, 2006. 37--45
2005Marian Aprodu: On Green and Green-Lazarsfeld conjectures for generic d-gonal curves. In: Oberwolfach Reports, 2005, 427-430
2005Marian Aprodu: Remarks on syzygies of d-gonal curves.. In: Mathematical Research Letters, 2005, 387-400
2005Aprodu, Marian: Remarks on syzygies of {$d$}-gonal curves. In: Math. Res. Lett., 12, 2005, 387--400
2004Aprodu, Marian and Nagel, Jan: A {L}efschetz type result for Koszul cohomology. In: Manuscripta Math., 114, 2004, 423--430
2004Aprodu, Marian: Green-Lazarsfeld gonality conjecture for a generic curve of odd genus. In: Int. Math. Res. Not., 2004, 3409--3416
2003Aprodu, Marian and Voisin, Claire: Green-Lazarsfeld's conjecture for generic curves of large gonality. In: C. R. Math. Acad. Sci. Paris, 336, 2003, 335--339
2003Aprodu, Marian: On the vanishing of higher syzygies of curves. {II}. In: Math. Z., 243, 2003, 775--778
2003Aprodu, Marian and Toma, Matei: Une note sur les fibr\'{e}s holomorphes non-filtrables. In: C. R. Math. Acad. Sci. Paris, 336, 2003, 581--584
2002Aprodu, Marian and Brinzanescu, Vasile and Toma, Matei: Holomorphic vector bundles on primary {K}odaira surfaces. In: Math. Z., 242, 2002, 63--73
2002Aprodu, Marian and Brinzanescu, Vasile: On the holomorphic rank-2 vector bundles with trivial discriminant over non-{K}\"{a}hler elliptic bundles. In: J. Math. Kyoto Univ., 42, 2002, 617--623 (2003)
2002Aprodu, Marian: On the vanishing of higher syzygies of curves. In: Math. Z., 241, 2002, 1--15
2000Aprodu, Monica Alice and Aprodu, Marian and Brinzanescu, Vasile: A class of harmonic submersions and minimal submanifolds. In: Internat. J. Math., 11, 2000, 1177--1191
1999Aprodu, M. A. and Aprodu, M.: Implicitly defined harmonic {PHH} submersions. In: Manuscripta Math., 100, 1999, 103--121
1999Aprodu, Marian and Brinzanescu, Vasile: Moduli spaces of vector bundles over ruled surfaces. In: Nagoya Math. J., 154, 1999, 111--122
1998Aprodu, Marian: An {A}ppell-{H}umbert theorem for hyperelliptic surfaces. In: J. Math. Kyoto Univ., 38, 1998, 101--121
1998Aprodu, Marian and Brinzanescu, Vasile: Existence of stable {$2$}-vector bundles over ruled surfaces. . 1998. 47--56
1997Aprodu, Marian and Brinzanescu, Vasile: Numerical invariants and stability of {$2$}-vector bundles over ruled surfaces. In: An. \c{S}tiin\c{t}. Univ. Ovidius Constan\c{t}a Ser. Mat., 5, 1997, 9--15
1997Aprodu, Marian and Brinzanescu, Vasile: Stable rank-2 vector bundles over ruled surfaces. In: C. R. Acad. Sci. Paris Ser. I Math., 325, 1997, 295--300
1996Aprodu, Marian and Brinzanescu, Vasile: Fibr\'{e}s vectoriels de rang {$2$} sur les surfaces r\'{e}gl\'{e}es. In: C. R. Acad. Sci. Paris Ser. I Math., 323, 1996, 627--630