382 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP369 papers
- The University of TokyoJP33 papers
- Korea Institute for Advanced StudyKR13 papers
- The University of OsakaJP12 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Nagoya UniversityJP10 papers
- Seoul National UniversityKR10 papers
- Yukawa Institute for Theoretical PhysicsJP10 papers
- Fujian Normal UniversityCN8 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP8 papers
- National Research University Higher School of EconomicsRU8 papers
- Hiroshima UniversityJP7 papers
57 papers · 1 filter
On a topological counterpart of regularization for holonomic D-modules
Andrea D'Agnolo, Masaki Kashiwara
On a complex manifold, the embedding of the category of regular holonomic D-modules into that of holonomic D-modules has a left quasi-inverse functor $\mathcal{M}\mapsto\mathcal{M}…
Enhanced nearby and vanishing cycles in dimension one and Fourier transform
Andrea D'Agnolo, Masaki Kashiwara
Enhanced ind-sheaves provide a suitable framework for the irregular Riemann-Hilbert correspondence. In this paper, we give some precisions on nearby and vanishing cycles for enhanc…
Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
Hiraku Nakajima
We prove the conjecture by Gyenge, Némethi and Szendrői in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of poi…
A finiteness theorem for holonomic DQ-modules on Poisson manifolds
Masaki Kashiwara, Pierre Schapira
On a complex symplectic manifold we prove a finiteness result for the global sections of solutions of holonomic DQ-modules in two cases: (a) by assuming that there exists a Poisson…
An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka +1
In this paper we construct an additive basis for the cohomology ring of a regular nilpotent Hessenberg variety which is obtained by extending all Poincaré duals of smaller regular…
Birational geometry for the covering of a nilpotent orbit closure II
Yoshinori Namikawa
Let be a nilpotent orbit of a complex semisimple Lie algebra and let be the finite covering associated with the universal covering of . In…
Enhanced specialization and microlocalization
Andrea D'Agnolo, Masaki Kashiwara
Enhanced ind-sheaves provide a suitable framework for the irregular Riemann-Hilbert correspondence. In this paper, we show how Sato's specialization and microlocalization functors…
The universal Poisson deformation of hypertoric varieties and some classification results
Takahiro Nagaoka
In this paper, we study and describe the universal Poisson deformation space of hypertoric varieties concretely. In the first application, we show that affine hypertoric varieties…
Stokes shells and Fourier transforms
Takuro Mochizuki
Algebraic holonomic -modules on a complex line are classified by the associated topological data consisting of local systems with Stokes structure and the nearby and v…
Classification of Mukai pairs with dimension and rank
Akihiro Kanemitsu
We give the complete classification of Mukai pairs of dimension and rank with Picard number one, that is, pairs where is a Fano -fold with Picard number one,…
Piecewise linear sheaves
Masaki Kashiwara, Pierre Schapira
On a finite-dimensional real vector space, we give a microlocal characterization of (derived) piecewise linear sheaves (PL sheaves) and prove that the triangulated category of such…
Cyclic covers and Ihara's Question
Christopher Rasmussen, Akio Tamagawa
Let be a rational prime and a number field. Given a superelliptic curve of -power degree, we describe the field generated by the -power torsion of the…
On equivalent conjectures for minimal log discrepancies on smooth threefolds
Masayuki Kawakita
On smooth threefolds, the ACC for minimal log discrepancies is equivalent to the boundedness of the log discrepancy of some divisor which computes the minimal log discrepancy. We r…
Nonabelian Landau-Ginzburg orbifolds and Calabi-Yau/Landau-Ginzburg correspondence
Daichi Mukai
In this paper, we study the bigraded vector space structure of Landau-Ginzburg orbifolds. We prove the formula for the generating function of the Hodge numbers of possibly nonabeli…
Constructing Q-Fano 3-folds à la Prokhorov & Reid
Tom Ducat
We generalise a construction by Prokhorov & Reid of two families of Q-Fano 3-folds of index 2 to obtain five more families of Q-Fano 3-folds; four of index 2 and one of index 3. Tw…
Divisors computing the minimal log discrepancy on a smooth surface
Masayuki Kawakita
We study a divisor computing the minimal log discrepancy on a smooth surface. Such a divisor is obtained by a weighted blow-up. There exists an example of a pair such that any divi…
On the monodromies and the limit mixed Hodge structures of families of algebraic varieties
Takahiro Saito, Kiyoshi Takeuchi
We study the monodromies and the limit mixed Hodge structures of families of complete intersection varieties over a punctured disk in the complex plane. For this purpose, we expres…
A valuative criterion for uniform K-stability of -Fano varieties
Kento Fujita
We give a simple necessary and sufficient condition for uniform K-stability of -Fano varieties.
Mixed trTLEP-structures and mixed Frobenius structures
Yota Shamoto
We introduce the notion of mixed trTLEP-structures and prove that a mixed trTLEP-structure with some conditions naturally induces a mixed Frobenius manifold. This is a generalizati…
Crystalline comparison isomorphisms in -adic Hodge theory: the absolutely unramified case
Fucheng Tan, Jilong Tong
We construct the crystalline comparison isomorphisms for proper smooth formal schemes over an absolutely unramified base. Such isomorphisms hold for étale cohomology with nontrivia…
Enhanced perversities
Andrea D'Agnolo, Masaki Kashiwara
The Riemann-Hilbert correspondence embeds the triangulated category of (not necessarily regular) holonomic D-modules into that of -constructible enhanced ind-sheaves. Th…
On K-stability and the volume functions of -Fano varieties
Kento Fujita
We introduce a new effective stability named "divisorial stability" for Fano manifolds which is weaker than K-stability and is stronger than slope stability along divisors. We show…
A twistor approach to the Kontsevich complexes
Takuro Mochizuki
This is a note to revisit interesting results of H. Esnault, C. Sabbah, M. Saito and J.-D. Yu on the Kontsevich complexes from the viewpoint of mixed twistor D-modules. We explicit…
Classification of log del Pezzo surfaces of index three
Kento Fujita, Kazunori Yasutake
A normal projective non-Gorenstein log-terminal surface is called a log del Pezzo surface of index three if the three-times of the anti-canonical divisor is an ample Ca…