Birational Geometry and Singularities In Zero and Positive Characteristic
Preprints supported by this grant
- Birational rigidity of singular Fano hypersurfaces, Tommaso de Fernex.
- The dimension of jet schemes of singular varieties, Mircea Mustaţă.
- The weak ordinarity conjecture and $F$-singularities, Bhargav Bhatt, Karl Schwede, Shunsuke Takagi.
- Boundedness of moduli of varieties of general type, Christopher Hacon, James McKernan, Chenyang Xu.
- Generic vanishing and classification of irregular surfaces in positive characteristics, Yuan Wang
- On the behavior of singularities at the $F$-pure threshold, Eric Canton, Daniel Hernandez, Karl Schwede, Emily Witt.
- The F-different and a canonical bundle formula, Omprokash Das, Karl Schwede.
- The dualizing complex of F-injective and Du Bois singularities, Bhargav Bhatt, Linquan Ma, Karl Schwede.
- On the characterization of abelian varieties in characteristic p>0, Christopher Hacon and Zsolt Patakfalvi.
- On the boundedness of SLC surfaces of general type, Christopher D. Hacon and Sandor Kovacs.
- The space of arcs of an algebraic variety, Tommaso de Fernex.
- Rational curves on hypersurfaces, Yuan Wang.
- Discreteness of $F$-jumping numbers at isolated non-Q-Gorenstein points , Patrick Graf and Karl Schwede.
- Hodge ideals Mircea Mustata, Mihnea Popa.
- A geometric characterisation of toric varieties Morgan Brown, James McKernan, Roberto Svaldi, Hong Zong.
- Fundamental groups of $F$-regular singularities via $F$-signature Javier Carvajal-Rojas, Karl Schwede, and Kevin Tucker.
- Restriction, subadditivity, and semicontinuity theorems for Hodge ideals Mircea Mustata, Mihnea Popa.
- Boundedness of moduli of vareties of general type Christopher D. Hacon, James McKernan, Chenyang Xu.
- Log birational boundedness of Calabi-Yau pairs Gabriele Di Cerbo, Roberto Svaldi.
- Generic Vanishing Fails for Surfaces in Positive Characteristic Stefano Filipazzi.
- Counterexamples To Bertini Theorems for Test Ideals Andrew Bydlon.
- Towards a link theoretic characterization of smoothness Tommaso de Fernex and Yu-Chao Tu.
- Fibration of log-general type space over quasi-abelian varieties Chuanhao Wei.
- Fujita vanishing theorems for q-ample divisors and applications on subvarieties with nef normal bundle Chung-Ching Lau.
- Invariance of certain plurigenera for surfaces in mixed characteristics Andrew Egbert, Christopher D. Hacon.
- Etale fundamental groups of strongly $F$-regular schemes Bhargav Bhatt, Javier Carvajal-Rojas, Patrick Graf, Karl Schwede, and Kevin Tucker.
- Geometry over the tropical dual numbers Keyvan Yaghmayi.
- Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun Christopher Hacon, Mihnea Popa, Christian Schnell.
- Effective algebraic integration in bounded genus Jorge Vitorio Pereira and Roberto Svaldi.
- Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0 Christopher D. Hacon, Zsolt Patakfalvi, Lei Zhang.
- Differentials on the arc space Tommaso de Fernex, Roi Docampo.
- Jet closures and the local isomorphism problem Tommaso de Fernex, Lawrence Ein, and Shihoko Ishii.
- Bounding Singular Surfaces via Chern Number Joaquin Moraga.
- Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers Linquan Ma, Karl Schwede.
- On the rationality of Kawamata log terminal singularities in positive characteristic Christopher Hacon, Jakub Witaszek.
- Frobenius-Seshadri constants and characterizations of projective space Takumi Murayama.
- On invariance of plurigenera for foliated surface pairs Jihao Liu.
Publications supported by this grant
- Test ideals of non-principal ideals: Computations, jumping numbers, alterations and division theorems. Karl Schwede, Kevin Tucker, 102. (5). Journal de Mathematiques Pures et Appliquees, 2014.
- Test ideals in rings with finitely generated anti-canonical algebras, Alberto Chiecchio, Florian Enescu, Lance Edward Miller, Karl Schwede. Published online with the Journal of the Institute of Mathematics of Jussieu. To appear in print.
- Uniform bounds for strongly F-regular surfaces, Paolo Cascini, Yoshinori Gongyo, Karl Schwede. Trans. Amer. Math. Soc. 368 (2016), no. 8, 5547--5563.
- On Rational Connectedness of Globally F-Regular Threefolds, Yoshinori Gongyo, Zhiyuan Li, Zsolt Patakfalvi, Karl Schwede, Hiromu Tanaka, Hong R. Zong. Adv. Math. 280 (2015), 47-78. 14E30 (13A35)
- Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties, Tommaso de Fernex, Roi Docampo, Shunsuke Takagi, Kevin Tucker. Bull. Lond. Math. Soc. 47 (2015), no. 2, 359-369.
- Terminal valuations and the Nash problem, Tommaso de Fernex, Roi Docampo. Invent. Math. 203 (2016), no. 1, 303-331.
- Inversion of adjunction for rational and Du Bois pairs, Sandor Kovacs, Karl Schwede. Algebra Number Theory 10 (2016), no. 5, 969-1000.
- Boundedness of log Calabi-Yau pairs of Fano type, Christopher Hacon, Chenyang Xu. Math. Res. Lett. 22 (2015), no. 6, 1699-1716.
- The volume of a set of arcs on a variety, Tommaso de Fernex and Mircea Mustaţă. Rev. Roumaine Math. Pures Appl. 60 (2015), no. 3, 375-401.
- On relative rational chain connectedness of threefolds with anti-big canonical divisors in positive characteristics, Yuan Wang. Pacific J. Math. 290 (2017), no. 1, 231-245.
- On Fujita invariants of subvarieties of a uniruled variety, Christopher D. Hacon, Chen Jiang. Algebr. Geom. 4 (2017), no. 3, 304-310.
