Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Craig Huneke"'
Autor:
Irena Swanson, Craig Huneke
Integral closure has played a role in number theory and algebraic geometry since the nineteenth century, but a modern formulation of the concept for ideals perhaps began with the work of Krull and Zariski in the 1930s. It has developed into a tool fo
In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help sess
Let $$(R,{\mathfrak {m}},\mathbb {k})$$ be an equicharacteristic one-dimensional complete local domain over an algebraically closed field $$\mathbb {k}$$ of characteristic 0. R. Berger conjectured that R is regular if and only if the universally fini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0537c72c493cd373dab8028cf5d1df46
Autor:
Craig Huneke, Daniel Katz
Publikováno v:
Transactions of the American Mathematical Society. 372:1735-1750
In this paper we prove that, under mild conditions, an equicharacteristic integrally closed domain which is a finite abelian extension of a regular domain has the uniform symbolic topology property.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eab3a70db57a3c06966f45361179786f
https://doi.org/10.1090/tran/7623
https://doi.org/10.1090/tran/7623
Publikováno v:
Acta Mathematica Vietnamica. 44:31-49
We investigate the existence of ideals $I$ in a one-dimensional Gorenstein local ring $R$ satisfying $\mathrm{Ext}^{1}_{R}(I,I)=0$.
17 pages
17 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ad8a8301113a3a006e4c3067b56f9cc
https://doi.org/10.1007/s40306-018-00315-0
https://doi.org/10.1007/s40306-018-00315-0
Publikováno v:
Journal of Pure and Applied Algebra. 222:2524-2551
Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight. We achieve this bound, in part, by giving a characterization of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbc339c9b790d146d4ce4648aaca7b48
https://doi.org/10.1016/j.jpaa.2017.10.005
https://doi.org/10.1016/j.jpaa.2017.10.005
Autor:
Eloísa Grifo, Craig Huneke
Publikováno v:
International Mathematics Research Notices. 2019:2999-3014
Given a radical ideal $I$ in a regular ring $R$, the Containment Problem of symbolic and ordinary powers of $I$ consists of determining when the containment $I^{(a)} \subseteq I^b$ holds. By work of Ein-Lazersfeld-Smith, Hochster-Huneke and Ma-Schwed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5627ddc14455fb1c158bdf66078a0666
https://doi.org/10.1093/imrn/rnx213
https://doi.org/10.1093/imrn/rnx213
We give explicit criteria that imply the resurgence of a self-radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies that the stable version of Harbourne's conjecture holds for such ideals. This criterion is u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52a75501d9fdae4699d737ca3306b752