Olivier Debarre
French mathematician
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Olivier Debarre is a French mathematician who specializes in complex algebraic geometry. From 1977 to 1981, Olivier Debarre attended the École Normale Supérieure and he studied under Phillip Griffiths at Harvard University in 1981–1982. In 1987, he received his Ph.D. in a two-part thesis from the University of Paris XI. His "Thèse d´Etat", under Arnaud Beauville, was entitled Variétés de Prym, conjecture de la trisécante et ensembles d'Andreotti et Mayer and his "Seconde Thèse", under Michael Robert Herman, was entitled Conjugaison analytique à des rotations des difféomorphismes analytiques du cercle.
Olivier Debarre's Published Works
Published Works
- Higher-Dimensional Algebraic Geometry (2001) (284)
- Classical Algebraic Geometry (2019) (117)
- Hyper-Kähler fourfolds and Grassmann geometry (2009) (91)
- Gushel--Mukai varieties: classification and birationalities (2015) (84)
- Pseudoeffective and nef classes on abelian varieties (2010) (70)
- Varieties with ample cotangent bundle (2003) (58)
- Surfaces with K2 = 2, pg = 1, q = 0 (1989) (52)
- Special prime Fano fourfolds of degree 10 and index 2 (2013) (48)
- Gushel–Mukai varieties: Linear spaces and periods (2016) (47)
- Complex Tori and Abelian Varieties (2005) (47)
- On the period map for prime Fano threefolds of degree 10 (2008) (43)
- Very ample linear systems on abelian varieties (1993) (38)
- Abelian varieties in $W^r_d(C)$ and points of bounded degree on algebraic curves (1993) (36)
- On the Euler characteristic of generalized Kummer varieties (1997) (33)
- Minimal Cohomology Classes and Jacobians (1993) (33)
- On coverings of simple abelian varieties (2006) (32)
- Points of low degree on smooth plane curves. (1992) (31)
- On the period map for polarized hyperk\"ahler fourfolds (2017) (30)
- The Schottky Problem: an Update (1995) (24)
- Gushel–Mukai varieties: Moduli (2018) (23)
- Degrees of curves in abelian varieties (1992) (20)
- Fulton-Hansen and Barth-Lefschetz theorems for subvarieties of abelian varieties. (1994) (19)
- Double covers of quadratic degeneracy and Lagrangian intersection loci (2018) (17)
- On nodal prime Fano threefolds of degree 10 (2010) (16)
- Pseudo-effective classes and pushforwards (2013) (16)
- Lines on cubic hypersurfaces over finite fields (2015) (15)
- HIGHER-DIMENSIONAL ALGEBRAIC GEOMETRY (Universitext). By OLIVIER DEBARRE: 233 pp., 31.50 (US$39.95), ISBN 0-387-95227-6 (Springer, New York, 2001) (2003) (14)
- Varieties with vanishing holomorphic Euler characteristic (2011) (14)
- Gushel--Mukai varieties: intermediate Jacobians (2020) (12)
- Singularities of divisors of low degree on abelian varieties (2005) (12)
- Gushel-Mukai varieties (2020) (11)
- Trisecant lines and jacobians, II (1993) (10)
- Non-deformability of entire curves in projective hypersurfaces of high degree (2005) (9)
- Hyperk\"ahler manifolds (2018) (9)
- Cohomological characterizations of the complex projective space (2015) (7)
- Hilbert squares of K3 surfaces and Debarre-Voisin varieties (2019) (6)
- Periods and moduli (2010) (6)
- Representations of SO(k, C ) on Harmonic Polynomials on a Null Cone (1991) (5)
- Rational cohomology tori (2015) (5)
- The diagonal property for abelian varieties (2007) (5)
- Corrigendum: Varieties with ample cotangent bundle (Compositio Math. 141 (2005), 1445–1459) (2013) (4)
- Unexpected isomorphisms between hyperk\"ahler fourfolds (2017) (4)
- Curves of Low Degrees on Fano Varieties (2013) (4)
- Monomial Transformations of the Projective Space (2014) (3)
- On the Geometry of Hypersurfaces of Low Degrees in the Projective Space (2017) (3)
- HYPERBOLICITY OF COMPLEX VARIETIES (2011) (3)
- On the Hodge and Betti Numbers of Hyper-Kähler Manifolds (2022) (3)
- Hyper-Kähler Manifolds (2022) (2)
- Singularities of divisors on abelian varieties (2006) (2)
- Gushel–Mukai varieties with many symmetries and an explicit irrational Gushel–Mukai threefold (2021) (2)
- Ampleness of intersections of translates of theta divisors in an abelian fourfold (2005) (2)
- Schémas de Fano (1996) (1)
- Representations of (,) on harmonic polynomials on a null cone (1991) (1)
- On the cohomology of Gushel-Mukai sixfolds (2016) (1)
- Computing Riemann-Roch polynomials and classifying hyper-K\"ahler fourfolds (2022) (1)
- Curves and Divisors on Algebraic Varieties (2001) (1)
- Complete curves in the moduli space of polarized K3 surfaces and hyper-K\"ahler manifolds (2021) (1)
- HOW TO CLASSIFY FANO VARIETIES ? (2014) (1)
- QUADRATIC LINE COMPLEXES (2013) (0)
- ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 (2012) (0)
- Smooth subvarieties of Jacobians (2022) (0)
- ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 (2012) (0)
- Modeling sloshing damping for spacecraft: A smoothed particle hydrodynamics application (2023) (0)
- N ov 2 00 4 Varieties with ample cotangent bundle (0)
- Fano varieties with high degree (1999) (0)
- GUSHEL-MUKAI VARIETIES AND THEIR PERIODS (2019) (0)
- March 2, 2012 CURVES OF LOW DEGREES ON PROJECTIVE VARIETIES (2012) (0)
- PERIODS OF ALGEBRAIC VARIETIES (2012) (0)
- March 2, 2012 CURVES OF LOW DEGREES ON PROJECTIVE VARIETIES (2012) (0)
- PERIODS OF ALGEBRAIC VARIETIES (2012) (0)
- Topics in Hyper-Kähler Geometry (2022) (0)
- A G ] 6 J un 2 01 7 GUSHEL – MUKAI VARIETIES : LINEAR SPACES AND PERIODS (0)
- “Bend-and-Break” Lemmas (2001) (0)
- Erratum to: On nodal prime Fano threefolds of degree 10 (2011) (0)
- Uniruled and Rationally Connected Varieties (2001) (0)
- GUSHEL-MUKAI VARIETIES AND THEIR PERIODS (2019) (0)
- The Rational Quotient (2001) (0)
- ON THE UNIFORMITY OF THE IITAKA FIBRATION (2007) (0)
- A G ] 1 7 M ay 2 01 1 VARIETIES WITH VANISHING HOLOMORPHIC EULER CHARACTERISTIC JUNGKAI (2011) (0)
- PERIODS OF CUBIC FOURFOLDS AND OF DEBARRE–VOISIN VARIETIES (2018) (0)
- PERIODS OF CUBIC FOURFOLDS AND OF DEBARRE–VOISIN VARIETIES (2018) (0)
- TWO OR THREE THINGS I KNOW ABOUT ABELIAN VARIETIES (2017) (0)
- BEND AND BREAK∗ (2007) (0)
- TWO OR THREE THINGS I KNOW ABOUT ABELIAN VARIETIES (2017) (0)
- Gushel–Mukai varieties with many symmetries and an explicit irrational Gushel–Mukai threefold (2021) (0)
- FAKE PROJECTIVE SPACES AND FAKE TORI (2016) (0)
- The Cone of Curves in the Smooth Case (2001) (0)
- DEGENERATIONS OF DEBARRE–VOISIN VARIETIES (2019) (0)
- A NEW FAMILY OF SYMPLECTIC FOURFOLDS (2009) (0)
- Sch\'emas de Fano (1996) (0)
- DEGENERATIONS OF DEBARRE–VOISIN VARIETIES (2019) (0)
- Higher-Dimensional Varieties (2017) (0)
- MODULI SPACES FOR CERTAIN FANO VARIETIES (2014) (0)
- QUADRATIC LINE COMPLEXES (2013) (0)
- MODULI SPACES FOR CERTAIN FANO VARIETIES (2014) (0)
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