Box graphs and singular fibers

H Hayashi, C Lawrie, DR Morrison… - Journal of High Energy …, 2014 - Springer
A bstract We determine the higher codimension fibers of elliptically fibered Calabi-Yau
fourfolds with section by studying the three-dimensional\(\mathcal {N}\)= 2 supersymmetric …

Flag varieties, toric varieties, and suspensions: three instances of infinite transitivity

IV Arzhantsev, MG Zaidenberg… - Sbornik …, 2012 - iopscience.iop.org
We say that a group acts infinitely transitively on a set if for every the induced diagonal
action of is transitive on the cartesian th power with the diagonals removed. We describe …

Geometric complexity theory V: Equivalence between blackbox derandomization of polynomial identity testing and derandomization of Noether's normalization lemma

KD Mulmuley - 2012 IEEE 53rd Annual Symposium on …, 2012 - ieeexplore.ieee.org
It is shown that black-box derandomization of polynomial identity testing (PIT) is essentially
equivalent to derandomization of Noether's Normalization Lemma for explicit algebraic …

A web basis of invariant polynomials from noncrossing partitions

R Patrias, O Pechenik, J Striker - Advances in Mathematics, 2022 - Elsevier
The irreducible representations of symmetric groups can be realized as certain graded
pieces of invariant rings, equivalently as global sections of line bundles on partial flag …

Geometric complexity theory V: Efficient algorithms for Noether normalization

K Mulmuley - Journal of the American Mathematical Society, 2017 - ams.org
We study a basic algorithmic problem in algebraic geometry, which we call NNL, of
constructing a normalizing map as per Noether's Normalization Lemma. For general explicit …

[图书][B] Flag varieties

V Lakshmibai, N Gonciulea - 2001 - Springer
This book provides an introduction to flag varieties and their Schubert subvarieties. The
book portrays flag varieties as an interplay of algebraic geometry, algebraic groups …

Seshadri stratifications and standard monomial theory

R Chirivì, X Fang, P Littelmann - Inventiones mathematicae, 2023 - Springer
We introduce the notion of a Seshadri stratification on an embedded projective variety. Such
a structure enables us to construct a Newton-Okounkov simplicial complex and a flat …

[PDF][PDF] Degenerate flag varieties of type A and C are Schubert varieties

GC Irelli, M Lanini - arXiv preprint arXiv:1403.2889, 2014 - arxiv.org
arXiv:1403.2889v4 [math.RT] 16 Jul 2014 Page 1 arXiv:1403.2889v4 [math.RT] 16 Jul 2014
DEGENERATE FLAG VARIETIES OF TYPE A AND C ARE SCHUBERT VARIETIES GIOVANNI …

Invariants of multidimensional time series based on their iterated-integral signature

J Diehl, J Reizenstein - Acta Applicandae Mathematicae, 2019 - Springer
We introduce a novel class of features for multidimensional time series that are invariant with
respect to transformations of the ambient space. The general linear group, the group of …

Noncrossing sets and a Grassmann associahedron

F Santos, C Stump, V Welker - Forum of Mathematics, Sigma, 2017 - cambridge.org
We study a natural generalization of the noncrossing relation between pairs of elements in.
Moreover, our approach allows us to show that the adjacency graph of the noncrossing …