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Stable conjugacy and epipelagic L-packets for Brylinski-Deligne covers of Sp(2n) (vol 26, 12, 2020)

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (3)

A correction to this paper has been published: http://fcb4e4bc18db4e2ead7856820ff3646c.ebe14e7a.libvpn.zuel.edu.cn/10.1007/s00029-020-0537-0

Three-speed ballistic annihilation: phase transition and universality

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (5)

We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980's physics literature. In this particle system, initial......

Classical Iwasawa theory and infinite descent on a family of abelian varieties

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (2)

For primes q equivalent to 7 mod 16, the present manuscript shows that elementary methods enable one to prove surprisingly strong results about the Iw......

Perverse sheaves on semi-abelian varieties

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (2)

We give a complete (global) characterization of C-perverse sheaves on semi-abelian varieties in terms of their cohomology jump loci. Our results gener......

The extended D-Toda hierarchy

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (2)

In a companion paper (arXiv:1910.03150) to this one, we proved that the Gromov-Witten theory of a Fano orbifold line of type D is governed by a system......

On properness of K-moduli spaces and optimal degenerations of Fano varieties

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (4)

We establish an algebraic approach to prove the properness of moduli spaces of K-polystable Fano varieties and reduce the problem to a conjecture on d......

Fujita's conjecture on iterated accumulation points of pseudo-effective thresholds

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (1)

We show that k-th iterated accumulation points of pseudo-effective thresholds of n-dimensional varieties are bounded by n - k + 1.

Quantum modular invariant and Hilbert class fields of real quadratic global function fields

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (1)

This is the first of a series of two papers in which we present a solution to Manin's Real Multiplication program (Manin in: Laudal and Piene (eds) Th......

On tau-functions for the KdV hierarchy

期刊: SELECTA MATHEMATICA-NEW SERIES, 2021; 27 (1)

For an arbitrary solution to the KdV hierarchy, the generating series of logarithmic derivatives of the tau-function of the solution can be expressed ......

Euler characteristics in the quantum K-theory of flag varieties

期刊: SELECTA MATHEMATICA-NEW SERIES, 2020; 26 (2)

We prove that the sheaf Euler characteristic of the product of a Schubert class and an opposite Schubert class in the quantum K-theory ring of a (gene......

An Alexander polynomial for MOY graphs

期刊: SELECTA MATHEMATICA-NEW SERIES, 2020; 26 (2)

We introduce an Alexander polynomial for MOY graphs. For a framed trivalent MOY graph G, we refine the construction and obtain a framed ambient isotop......

Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces

期刊: SELECTA MATHEMATICA-NEW SERIES, 2020; 26 (5)

Let G be a connected and simply connected complex semisimple Lie group. For a collection of homogeneous G-spaces G/Q, we construct a finite atlas A(BS......

Stable conjugacy and epipelagic L-packets for Brylinski-Deligne covers of Sp(2n)

期刊: SELECTA MATHEMATICA-NEW SERIES, 2020; 26 (1)

Let F be a local field of characteristic not 2. We propose a definition of stable conjugacy for all the covering groups of Sp(2n, F) constructed by Br......

A geometric interpretation of Newton strata

期刊: SELECTA MATHEMATICA-NEW SERIES, 2020; 26 (1)

The Newton strata of a reductive p-adic group are introduced in He (Forum Math Pi 6:e2, 2018) and play some role in the representation theory of p-adi......

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