Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Morgan V. Brown"'
Autor:
Enrica Mazzon, Morgan V. Brown
Publikováno v:
Arc Schemes and Singularities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5184d65d2ea08e46fa1e6388a5d7c1f6
https://doi.org/10.1142/9781786347206_0015
https://doi.org/10.1142/9781786347206_0015
Autor:
Morgan V. Brown
Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary $\Delta $ of a log canonical pair $(X,\Delta )$ and also appear as limits of canonically polarized varieties in moduli t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::261c6ed0683ad45cdc89c6354322babd
Autor:
Morgan V. Brown, Tyler Foster
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2019:45-62
Let k {{k}} be an algebraically closed field of characteristic 0, and let f : X → Y {f:X\to Y} be a morphism of smooth projective varieties over the ring k ( ( t ) ) {k((t))} of formal Laurent series. We prove that if a general geometric fiber
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44648804c96a1dd42cc7301b3be35930
https://doi.org/10.1515/crelle-2016-0019
https://doi.org/10.1515/crelle-2016-0019
Publikováno v:
Duke Math. J. 167, no. 5 (2018), 923-968
We prove a conjecture of Shokurov which characterises toric varieties using log pairs.
40 pages
40 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d97fb39321ac24b94df812b54ba90afb
http://hdl.handle.net/2434/937277
http://hdl.handle.net/2434/937277
Autor:
Morgan V. Brown, Enrica Mazzon
We study the problem of how the dual complex of the special fiber of a strict normal crossings degeneration$\mathscr{X}_{R}$changes under products. We view the dual complex as a skeleton inside the Berkovich space associated to$X_{K}$. Using the Kato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d47c84d0bde971469edc0bada3ac3d17
Let $\Gamma$ be a finite graph and let $\Gamma_n$ be the "$n$th cone over $\Gamma$" (i.e., the join of $\Gamma$ and the complete graph $K_n$). We study the asymptotic structure of the chip-firing group $\text{Pic}^0(\Gamma_n)$.
Comment: 8 pages.
Comment: 8 pages.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fda12b234784a093d05104364ec694c8
Autor:
Morgan V. Brown
Publikováno v:
Compositio Mathematica. 148:790-798
A recent paper of Totaro develops a theory of $q$-ample bundles in characteristic 0. Specifically, a line bundle $L$ on $X$ is $q$-ample if for every coherent sheaf $\mathcal{F}$ on $X$, there exists an integer $m_0$ such that $m\geq m_0$ implies $H^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d188bc3406691ce9cf6ef3800eb34ed
https://doi.org/10.1112/s0010437x11007457
https://doi.org/10.1112/s0010437x11007457
Autor:
Morgan V. Brown
Let $X$ be a smooth complete Fano variety over $\mathbb{C}$. We show that the Cox ring $\bigoplus_{L\in\text{Pic}(X)}H^0(X,\mathcal{O}_X(L))$ is Gorenstein with canonical singularities.
Comment: 15 pages, 2 tikz figures. Added log Fano and log C
Comment: 15 pages, 2 tikz figures. Added log Fano and log C
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3025919da10a7191461fb1c20d08b74