Tag: birational-geometry

36 Surfaces in $\mathbb{P}^3$ with isolated singularities 2010-07-22T11:16:43.980

26 Birational invariants and fundamental groups 2010-07-22T22:53:16.487

20 Rationality of intersection of quadrics 2011-03-28T09:33:05.923

16 What is known about the birational involutions of P^3? 2011-01-23T18:25:28.790

16 $K_0$-equivalence of varieties 2017-11-22T19:31:53.607

15 Generalization of the rigidity lemma in birational geometry 2016-02-07T14:27:16.197

15 The Order of Approximation of a Rational Map 2016-09-07T10:03:32.877

14 Contracting divisors to a point 2010-05-13T13:15:37.313

13 is the Hodge conjecture birationally invariant? 2014-01-26T20:55:17.760

13 Birational automorphisms of varieties of Picard number one 2017-11-22T21:15:27.017

12 Rationality of GIT quotients 2010-02-22T20:31:32.300

12 Relative canonical divisors 2010-10-28T04:50:54.173

12 When does $Aut(X)=Bir(X)$ hold? 2013-01-31T00:37:17.490

12 If $X\times X$ is rational, must $X$ also be rational? 2017-04-12T11:18:34.147

11 Minimal model which is necessarily singular 2010-04-11T15:23:10.137

11 Geometrically unirational varieties that are not unirational 2013-06-17T12:46:02.173

11 Blow-ups of $\mathbb{P}^{n-3}$ and $(\mathbb{P}^1)^{n-3}$ 2014-12-21T14:15:33.080

10 Is the Euler characteristic a birational invariant 2010-05-25T20:10:35.230

10 Blowups of Cohen-Macaulay varieties 2010-10-23T21:01:35.573

10 Training towards research on birational geometry/minimal model program 2012-11-21T11:42:21.427

10 Why is the standard flop a flop? 2014-02-11T01:29:44.403

10 Letters of a bi-rationalist 2016-03-30T02:05:26.407

9 Schemes as a model category 2010-06-29T15:36:58.753

9 Birational automorphisms of canonical models 2011-05-05T15:11:14.000

9 Extending birational isomorphisms between planar curves to the P^2 2012-05-06T21:27:49.140

9 Is the Hasse principle a birational invariant? 2012-09-27T17:36:53.117

9 Conditions for the contractibility of subvarieties 2013-08-06T13:38:01.430

9 Why is proving fully-faithfulness of an integral functor locally analytically sufficient? 2013-08-06T13:59:08.590

9 Rationality of moduli spaces of rational curves 2014-12-04T14:57:42.720

9 Fibrations of projective varieties 2015-04-12T18:34:15.173

9 Rationality of a certain real algebraic variety 2016-05-02T10:41:39.350

9 Number of conditions imposed by fat points to a linear system 2016-09-23T22:30:04.010

9 Intersection numbers in $\mathbb{P}^1$-bundles 2017-10-09T22:05:21.457

8 Are groups in (Var/k, rational maps) necessarily algebraic groups? 2010-04-21T19:56:05.860

8 How much can small modifications change the nef cone? 2010-07-19T12:53:01.123

8 Is the number of minimal models finite 2014-05-08T19:35:06.757

8 Singular cohomology and birational equivalence 2016-11-05T11:30:16.587

8 Quadrics in the Grothendieck ring 2017-09-06T16:16:22.670

8 Compactifications of reductive groups via representation theory 2018-02-10T16:42:11.593

7 Why is the Hodge class of \bar{M_g} big and nef? 2009-10-22T20:22:05.500

7 Does a birational involution of C^n always have a fixed point? 2010-03-16T09:27:12.280

7 Projectivity of flops 2010-04-28T16:12:40.713

7 Appropriate journal to publish a determinantal inequality 2010-08-29T20:41:56.980

7 Simplified treatment of resolutions of complex analytic varieties? 2011-01-06T22:32:18.637

7 Cones, monoids, and the space of (very) ample divisors 2011-03-31T12:45:20.890

7 A characterization of the blow-up 2011-12-08T18:14:21.583

7 Why is $\mathbb{Q}$-factoriality not local in the ├ętale topology? 2012-03-05T00:55:55.443

7 Proving a variety is not unirational 2013-05-18T19:36:43.020

7 Vanishing theorem for big divisors 2015-02-03T15:33:10.460

7 Obstruction to rationality of del Pezzo surfaces of degree 4 2016-05-10T23:32:38.143

7 Reference request on birational invariance of Chow group of zero cycles of degree zero 2016-06-10T12:41:25.370

7 Picard groups and birational morphisms 2016-11-21T15:29:40.067

7 Degree of equations of secant varieties of Veronese varieties 2016-12-15T22:30:43.690

7 Pencils on del Pezzo surfaces 2017-09-07T14:31:32.253

7 Push-forward of nef divisors via finite morphisms 2017-10-14T16:09:06.867

7 Why study unirational and rational varieties? 2017-11-30T06:05:25.897

7 Pullback of the canonical bundle 2018-02-17T21:13:26.003

6 When does f-nef imply nef (after twisting?) 2011-02-02T13:21:39.427

6 How to construct log-canonical (or Calabi-Yau), non-Cohen-Macaulay singularities of low codimensions? 2011-07-04T02:13:40.090

6 Quotients of rational surfaces 2013-01-10T14:46:14.830

6 Hn(X, OX) = 0 for X birational to a regular affine variety? 2013-08-12T15:36:29.893

6 Top self-intersection of exceptional divisors 2014-04-08T20:59:46.710

6 Motivation behind the proof that $X^4+Y^4+Z^4+W^4$ is unirational 2014-06-11T20:13:32.587

6 Why is the inverse of a bijective rational map rational? 2014-09-29T08:57:00.510

6 References for the minimal model program 2016-10-06T14:59:46.183

6 Advantage of discrepancy 2017-01-22T01:41:06.237

6 Pseudo-effective divisor which is not nef in any birational model 2017-10-28T23:03:20.300

6 Blowing-up an ideal generated by squares 2017-11-09T00:22:09.630

6 Spherical and Wonderful varieties 2017-11-13T23:29:32.693

6 Extremal rays in Picard rank two 2018-02-02T22:49:00.813

6 Rational normal curves and tangent lines 2018-02-11T16:06:02.823

6 Birational invariants in ├ętale cohomology 2018-02-23T02:29:12.417

6 Closure of quasi projective scheme 2018-02-27T02:18:02.580

5 Topology of the preimage of a point for degree one holomorphic maps 2010-12-30T13:18:40.487

5 Semistable sheaves on rationally connected manifolds 2011-03-15T11:56:00.873

5 Is it possible to check two curves on birational equivalence by some computer algebra system? 2011-11-08T22:59:42.843

5 Minimal Model Program for surfaces over algebraically closed fields of characteristic p 2012-01-11T17:07:51.200

5 Example of cone of numerically effective curves which is not polyhedral 2012-01-19T18:17:14.843

5 Crepant resolutions of ODP's on a 3-fold 2012-06-08T00:26:16.710

5 Can a birational morphism between smooth varieties be dominated by smooth blowup sequences? 2012-09-04T14:32:18.153

5 Strictness of the inequality relating the Iitaka dimension and algebraic dimension 2013-02-14T23:07:34.923

5 Are there only finitely varieties of general type dominated by a given variety in the following sense 2013-06-18T11:18:15.750

5 $Aut(X)$ and $Bir(X)$ for Calabi-Yau 3-folds with $\rho(X)=1$ 2013-12-28T17:21:33.257

5 Which singularities of log pairs do not depend on the resolution? 2014-08-10T01:39:42.300

5 A question on young persons guide to canonical singularities 2015-10-24T21:28:33.593

5 Is every complex rational algebraic variety simply connected for the Euclidean topology? 2015-11-08T22:11:10.163

5 Automorphisms of Cartesian products 2016-03-05T20:55:43.103

5 Log canonical counterexample to Kawamata-Viehweg vanishing 2016-09-23T00:11:01.320

5 Conormal bundle of irreducible components of an exceptional divisor 2017-02-01T02:48:33.730

5 Singularities of fibrations 2017-04-14T20:29:44.360

5 fibers of birational contraction for complex manifolds - are they Moishezon? 2017-04-17T11:46:17.343

5 Linear systems on moduli spaces of stable maps 2017-06-07T09:24:45.490

5 Picard number of a general fiber of a fiber contraction 2017-06-15T11:54:34.750

5 3-folds with "simple" Betti numbers and positive Kodaira dimension 2017-08-25T15:00:02.213

5 Anti-canonical divisor of a Fano variety 2017-10-02T21:33:11.887

5 Chern classes of a vector bundle 2017-10-09T19:45:47.093

5 Is the blowup of a point on a cubic threefold a weak Fano? 2017-10-13T20:54:35.133

5 Resolution of Gorenstein rational singularities on a surface 2017-11-24T10:57:23.820

5 Blowing-up projective spaces of parametrized rational curves 2018-02-04T15:13:45.013