Prof. Dr. Marian Aprodu

Profile

Academic positionFull Professor
Research fieldsAlgebraic geometry,Commutative algebra
KeywordsCurves, Koszul Cohomology, Projective Curves and Varieties, Projective geometry, Vector Bundles

Current contact address

CountryRomania
CityBucharest
InstitutionUniversity of Bucharest
InstituteDepartment of Mathematics
Homepagewww.imar.ro/~aprodu

Host during sponsorship

Prof. Dr. Thomas PeternellLehrstuhl Mathematik I - Komplexe Analysis, Universität Bayreuth, Bayreuth
Prof. Dr. Gavril FarkasInstitut für Mathematik, Humboldt-Universität zu Berlin, Berlin
Start of initial sponsorship01/11/2004

Programme(s)

2003Humboldt Research Fellowship Programme

Publications (partial selection)

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