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11 papers · 2 filters
Semi log resolution
János Kollár
The aim of this note is to discuss resolution theorems that are useful in the study of semi log canonical varieties.
Quotients by finite equivalence relations
János Kollár
This note studies the existence of quotients by finite set theoretic equivalence relations. May 18: Substantial revisions with a new appendix by C. Raicu
Exercises in the birational geometry of algebraic varieties
János Kollár
This a collection of about 100 exercises. It could be used as a supplement to the book Kollár--Mori: Birational geometry of algebraic varieties.
The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
Samuel Grushevsky, Igor Krichever
We show that certain structures and constructions of the Whitham theory, an essential part of the perturbation theory of soliton equations, can be instrumental in understanding the…
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
D. Maulik, A. Oblomkov, A. Okounkov +1
We prove the equivariant Gromov-Witten theory of a nonsingular toric 3-fold X with primary insertions is equivalent to the equivariant Donaldson-Thomas theory of X. As a corollary,…
Birational rigidity of Fano varieties and field extensions
János Kollár
The aim of this note is to settle some foundational questions about the behavior of birational rigidity in extensions of algebraically closed fields.