23 citations · 94 across the 13 of their papers we have counts for
14 papers
Ehrhart theory on periodic graphs
Takuya Inoue, Yusuke Nakamura
The purpose of this paper is to extend the scope of the Ehrhart theory to periodic graphs. We give sufficient conditions for the growth sequences of periodic graphs to be a quasi-p…
Shokurov's index conjecture for quotient singularities
Yusuke Nakamura, Kohsuke Shibata
We prove Shokurov's index conjecture for quotient singularities.
Inversion of adjunction for quotient singularities II: Non-linear actions
Yusuke Nakamura, Kohsuke Shibata
We prove the precise inversion of adjunction formula for quotient singularities. As an application, we prove the semi-continuity of minimal log discrepancies for hyperquotient sing…
On generalized minimal log discrepancy
Weichung Chen, Yoshinori Gongyo, Yusuke Nakamura
We discuss the ACC conjecture and the LSC conjecture for minimal log discrepancies of generalized pairs. We prove that some known results on these two conjectures for usual pairs a…
Upper bounds of orders of automorphism groups of leafless metric graphs
Yusuke Nakamura, JuAe Song
We prove a tropical analogue of the theorem of Hurwitz: a leafless metric graph of genus has at most automorphisms when ; automorphisms when $g \ge 3…
Inversion of adjunction for quotient singularities
Yusuke Nakamura, Kohsuke Shibata
We prove the precise inversion of adjunction formula for quotient singularities and klt Cartier divisors. As an application, we prove the semi-continuity of minimal log discrepanci…
Dual complex of log Fano pairs and its application to Witt vector cohomology
Yusuke Nakamura
We prove the contractibility of the dual complexes of weak log Fano pairs. As applications, we obtain a vanishing theorem of Witt vector cohomology of Ambro-Fujino type and a ratio…
A Witt Nadel vanishing theorem for threefolds
Yusuke Nakamura, Hiromu Tanaka
In this paper, we establish a vanishing theorem of Nadel type for the Witt multiplier ideals on threefolds over perfect fields of characteristic larger than five. As an application…
Minimal model program for log canonical threefolds in positive characteristic
Kenta Hashizume, Yusuke Nakamura, Hiromu Tanaka
Given a three-dimensional projective log canonical pair over a perfect field of characteristic larger than five, there exists a minimal model program that terminates after finitely…
On base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field
Yusuke Nakamura, Jakub Witaszek
The authors and D. Martinelli proved the base point free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a f…
Rational points on log Fano threefolds over a finite field
Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka
We prove the -rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic . As a consequence…
On minimal log discrepancies on varieties with fixed Gorenstein index
Yusuke Nakamura
We generalize the rationality theorem of the accumulation points of log canonical thresholds which was proved by Hacon, M\textsuperscript{c}Kernan, and Xu. Further, we apply the ra…
On base point free theorem for log canonical threefolds over the algebraic closure of a finite field
Diletta Martinelli, Yusuke Nakamura, Jakub Witaszek
We prove the base point free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field.
On semi-continuity problems for minimal log discrepancies
Yusuke Nakamura
We show the semi-continuity property of minimal log discrepancies for varieties which have a crepant resolution in the category of Deligne-Mumford stacks. Using this property, we a…