Zobrazeno 1 - 10
of 18
pro vyhledávání: '"THOMAS POLSTRA"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
We study $F$-signature under proper birational morphisms $\unicode[STIX]{x1D70B}:Y\rightarrow X$, showing that $F$-signature strictly increases for small morphisms or if $K_{Y}\leqslant \unicode[STIX]{x1D70B}^{\ast }K_{X}$. In certain cases, we can e
Externí odkaz:
https://doaj.org/article/25600c40db244997ab8e1047b58a5f6c
Publikováno v:
Journal of Algebra. 610:773-792
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22cf73761a0370cb47b0687c399c044f
https://doi.org/10.1016/j.jalgebra.2022.07.028
https://doi.org/10.1016/j.jalgebra.2022.07.028
Autor:
Ian Aberbach, Thomas Polstra
Publikováno v:
Journal of Algebra. 605:37-57
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::500c9a84a421f380a535d9e886b53318
https://doi.org/10.1016/j.jalgebra.2022.04.020
https://doi.org/10.1016/j.jalgebra.2022.04.020
Autor:
Thomas Polstra, Austyn Simpson
Publikováno v:
International Mathematics Research Notices.
We show that $F$-purity deforms in local ${\mathbb {Q}}$-Gorenstein rings of prime characteristic $p>0$. Furthermore, we show that $F$-purity is ${\mathfrak {m}}$-adically stable in local Cohen–Macaulay ${\mathbb {Q}}$-Gorenstein rings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a86f901304d88b422f8eefe377e4a7ec
https://doi.org/10.1093/imrn/rnac254
https://doi.org/10.1093/imrn/rnac254
Autor:
Thomas Polstra
Publikováno v:
International Mathematics Research Notices. 2022:2086-2094
It is shown that for any local strongly $F$-regular ring there exists natural number $e_0$ so that if $M$ is any finitely generated maximal Cohen–Macaulay module, then the pushforward of $M$ under the $e_0$th iterate of the Frobenius endomorphism c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cfe5b182daaeec12055fa5ee9b7c52b
https://doi.org/10.1093/imrn/rnaa154
https://doi.org/10.1093/imrn/rnaa154
Autor:
Ilya Smirnov, Thomas Polstra
Publikováno v:
Nagoya Mathematical Journal. 245:229-231
Unfortunately, there is a mistake in [PS, Lemma 3.10] which invalidates [PS, Theorem 3.12]. We show that the theorem still holds if the ring is assumed to be Gorenstein.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa836be4102fa4c0c11d2d27f922bbd0
https://doi.org/10.1017/nmj.2020.33
https://doi.org/10.1017/nmj.2020.33
Publikováno v:
Michigan Mathematical Journal.
We extend the notion of Frobenius Betti numbers to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be local. To do so, we introduce new invariants, which we call Frobenius Euler characteristics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15f239c5ae0a625de22688a10be1bf70
https://doi.org/10.1307/mmj/20195824
https://doi.org/10.1307/mmj/20195824
Publikováno v:
Journal of Singularities. 23
We further the classification of rational surface singularities. Suppose $(S, \mathfrak{n}, \mathcal{k})$ is a strictly Henselian regular local ring of mixed characteristic $(0, p > 5)$. We classify functions $f$ for which $S/(f)$ has an isolated rat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad9b525a9ddfbd5bfaa829ec48e076c1
https://doi.org/10.5427/jsing.2021.23h
https://doi.org/10.5427/jsing.2021.23h
Autor:
Thomas Polstra, Karl Schwede
Suppose $R$ is a $\mathbb{Q}$-Gorenstein $F$-finite and $F$-pure ring of prime characteristic $p>0$. We show that if $I\subseteq R$ is a compatible ideal (with all $p^{-e}$-linear maps) then there exists a module finite extension $R\to S$ such that t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a82c930e57241a1a1c859bf5f5f4339
Autor:
Kevin Tucker, Thomas Polstra
Publikováno v:
Algebra Number Theory 12, no. 1 (2018), 61-97
We present a unified approach to the study of Hilbert-Kunz multiplicity, F-signature, and related limits governed by Frobenius and Cartier linear actions in positive characteristic commutative algebra. We introduce general techniques that give vastly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5207d99daf2b53933d094ea31fd47657
https://doi.org/10.2140/ant.2018.12.61
https://doi.org/10.2140/ant.2018.12.61