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1	Fano threefolds The nodal Fano threefold X10 Reconstructing X10 Verra threefolds Period maps Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2010-09-12 06:06:46 Geometry Algebraic geometry Algebra Algebraic varieties Projective geometry Fano variety Birational geometry Projective variety Fano Olivier Debarre Ample line bundle
2	ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 OLIVIER DEBARRE Abstract. We discuss the period maps of certain (complex) Fano fourfolds. The first part of this talk deals with cubic fourfolds. We recall their Hodge s Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-09-27 08:04:23 Abstract algebra Algebra Geometry Algebraic geometry Algebraic surfaces Hodge theory Projective geometry Birational geometry Fano variety Hodge conjecture Divisor Hodge structure
3	HOW TO CLASSIFY FANO VARIETIES? OLIVIER DEBARRE Abstract. We review some of the methods used in the classification of Fano varieties and the description of their birational geometry. Mori theory brought important simplif Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-04-10 04:37:56 Geometry Algebraic geometry Algebra Fano variety Birational geometry Divisor Projective variety Morphism of algebraic varieties Ample line bundle Minimal model program Canonical bundle Fano surface
4	ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 OLIVIER DEBARRE Abstract. According to Gushel and Mukai, most Fano varieties of degree 10, dimension n, and coindex 3 (index n−2) are obtained as linear sections of th Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-09-23 11:18:43 Algebra Abstract algebra Geometry Algebraic geometry Hodge theory Birational geometry Cohomology Hodge structure Fano variety Projective variety Sheaf
5	FANO VARIETIES AND EPW SEXTICS OLIVIER DEBARRE Abstract. We explore a connection between smooth projective varieties X of dimension n with an ample divisor H such that H n = 10 and KX = −(n − 2)H and a class of sexti Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2015-12-04 04:27:18 Algebra Abstract algebra Algebraic geometry Algebraic varieties Hodge theory Invariant theory Algebraic surfaces Projective variety Birational geometry Fano variety Hodge structure Moduli space
6	MODULI SPACES FOR CERTAIN FANO VARIETIES OLIVIER DEBARRE Abstract. It is yet unknown whether quasiprojective moduli spaces exist for all Fano varieties with finite automorphism groups. In this talk, we will describe a cl Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-03-30 09:31:34 Geometry Algebra Abstract algebra Algebraic geometry Fano variety Projective variety Hyperelliptic curve Moduli space DeligneMumford stack Hypersurface Ample line bundle Stack
7	Cubic fourfolds Prime Fano fourfolds of degree 10 and index 2 On some Fano fourfolds Olivier DEBARRE Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2013-02-21 22:45:35 Algebra Abstract algebra Algebraic varieties Algebraic geometry Birational geometry Field theory Rational variety Cubic form
8	On the geometry of certain Fano threefolds Olivier DEBARRE Institut de Recherche Math´ ematique Avanc´ ee (IRMA) Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2007-05-07 12:44:04 Geometry Algebraic geometry Algebra Complex manifolds Riemannian geometry Fano variety Gino Fano Olivier Debarre Hermitian manifold Manifold Khler manifold
9	ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 OLIVIER DEBARRE Abstract. We discuss the period map of certain (complex) Fano varieties. The first part of this talk deals with cubic hypersurfaces. We recall their Hodg Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-09-27 08:07:55 Geometry Algebraic geometry Abstract algebra Algebraic varieties Algebraic surfaces Hodge theory Fano variety Birational geometry Projective variety Hodge structure K3 surface Canonical bundle
10	THE FANO THREEFOLD X10 OLIVIER DEBARRE This is joint work in progress with A. Iliev (Sofia) and L. Manivel (Grenoble). 1. Introduction Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2008-05-16 16:37:50 Algebraic geometry Abstract algebra Algebra Algebraic varieties Vector bundles Birational geometry Fano variety Divisor Cubic threefold Canonical bundle Sheaf Smooth scheme

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