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11 papers · 2 filters
Integrable systems and local fields
A. N. Parshin
In 70's there was discovered a construction how to attach to some algebraic-geometric data an infinite-dimensional subspace in the space k((z)) of the Laurent power series. The con…
Isomonodromic tau function on the space of admissible covers
A. Kokotov, D. Korotkin, P. Zograf
The isomonodromic tau function of the Fuchsian differential equations associated to Frobenius structures on Hurwitz spaces can be viewed as a section of a line bundle on the space…
On exceptional quotient singularities
Ivan Cheltsov, Constantin Shramov
We study exceptional quotient singularities. In particular, we prove an exceptionality criterion in terms of the -invariant of Tian, and utilize it to classify four-dimensional…
Algebraic cones
Vladimir L. Popov
A characterization of algebraic cones in terms of actions of the one-dimensional multiplicative algebraic monoid and the algebraic group are giv…
Uniqueness of enhancement for triangulated categories
Valery A. Lunts, Dmitri O. Orlov
The paper contains general results on the uniqueness of a DG enhancement for triangulated categories. As a consequence we obtain such uniqueness for the unbounded categories of qua…
Cross-sections, quotients, and representation rings of semisimple algebraic groups
Vladimir L. Popov
Let be a connected semisimple algebraic group over an algebraically closed field . In 1965 Steinberg proved that if is simply connected, then in there exists a close…