The rationality problem for conic bundles
YG Prokhorov - Russian Mathematical Surveys, 2018 - iopscience.iop.org
This expository paper is concerned with the rationality problem for three-dimensional
algebraic varieties with a conic bundle structure. The main methods of this theory are …
algebraic varieties with a conic bundle structure. The main methods of this theory are …
[PDF][PDF] Fano threefolds with infinite automorphism groups
One of the most important results obtained by Iskovskikh is a classification of smooth Fano
threefolds of Picard rank 1 (see [Is77],[Is78]). In fact, he was the one who introduced the …
threefolds of Picard rank 1 (see [Is77],[Is78]). In fact, he was the one who introduced the …
P= W conjectures for character varieties with symplectic resolution
C Felisetti, M Mauri - Journal de l'École polytechnique …, 2022 - numdam.org
We establish P= W and PI= WI conjectures for character varieties with structural group GLn
and SLn which admit a symplectic resolution, ie, for genus 1 and arbitrary rank, and genus 2 …
and SLn which admit a symplectic resolution, ie, for genus 1 and arbitrary rank, and genus 2 …
The defect of a cubic threefold
L Marquand, S Viktorova - arXiv preprint arXiv:2312.05118, 2023 - arxiv.org
The defect of a cubic threefold $ X $ with isolated singularities is a global invariant that
measures the failure of $\mathbb {Q} $-factoriality. We compute the defect for such cubics by …
measures the failure of $\mathbb {Q} $-factoriality. We compute the defect for such cubics by …
[PDF][PDF] On maximally non-factorial nodal Fano threefolds
arXiv:2305.09081v2 [math.AG] 1 Mar 2024 Page 1 arXiv:2305.09081v2 [math.AG] 1 Mar
2024 ON MAXIMALLY NON-FACTORIAL NODAL FANO THREEFOLDS IVAN CHELTSOV …
2024 ON MAXIMALLY NON-FACTORIAL NODAL FANO THREEFOLDS IVAN CHELTSOV …
Проблема рациональности для расслоений на коники
ЮГ Прохоров - Успехи математических наук, 2018 - mathnet.ru
Обзор посвящен проблеме рациональности трехмерных алгебраических
многообразий со структурой расслоения на коники. Обсуждаются основные методы …
многообразий со структурой расслоения на коники. Обсуждаются основные методы …
Cylinders in Fano varieties.
Cylinders in Fano varieties Page 1 EMS Surv. Math. Sci. 8 (2021), 39–105 DOI 10.4171/EMSS/44
© 2021 European Mathematical Society Published by EMS Press This work is licensed under …
© 2021 European Mathematical Society Published by EMS Press This work is licensed under …
Biregular and birational geometry of quartic double solids with 15 nodes
A Avilov - arXiv preprint arXiv:1812.10723, 2018 - arxiv.org
Three-dimensional del Pezzo varieties of degree 2 are double covers of projective space
$\mathbb {P}^{3} $ branced in a quadric. In this paper we prove that if a del Pezzo variety of …
$\mathbb {P}^{3} $ branced in a quadric. In this paper we prove that if a del Pezzo variety of …
Quartic double solids with icosahedral symmetry
Quartic double solids with icosahedral symmetry | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
Coble fourfold, 𝔖6-invariant quartic threefolds, and Wiman–Edge sextics
We construct two small resolutions of singularities of the Coble fourfold (the double cover of
the four-dimensional projective space branched over the Igusa quartic). We use them to …
the four-dimensional projective space branched over the Igusa quartic). We use them to …