Zobrazeno 1 - 10
of 19
pro vyhledávání: '"PATRICK GRAF"'
Autor:
Patrick Graf, Martin Schwald
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
Let X be a normal compact Kähler space with klt singularities and torsion canonical bundle. We show that X admits arbitrarily small deformations that are projective varieties if its locally trivial deformation space is smooth. We then prove that thi
Externí odkaz:
https://doaj.org/article/f477fe5d743548abb64a311a33d87da7
Autor:
HANNAH BERGNER, PATRICK GRAF
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of exceptional curves and $b$ is the first Betti number of the dual graph. This
Externí odkaz:
https://doaj.org/article/4d619ffbae944f2caf9f32bc763c94c0
Autor:
Patrick Graf, Martin Schwald
Publikováno v:
Ark. Mat. 58, no. 2 (2020), 267-284
We discuss the Kodaira problem for uniruled K\"ahler spaces. Building on a construction due to Voisin, we give an example of a uniruled K\"ahler space $X$ such that every run of the $K_X$-MMP immediately terminates with a Mori fibre space, yet $X$ do
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c84760c346cb8472ec250bab9cd88ad7
https://doi.org/10.4310/arkiv.2020.v58.n2.a3
https://doi.org/10.4310/arkiv.2020.v58.n2.a3
Autor:
Patrick Graf
Publikováno v:
International Mathematics Research Notices. 2021:426-441
We prove the Lipman-Zariski conjecture for complex surface singularities of genus one, and also for those of genus two whose link is not a rational homology sphere. As an application, we characterize complex $2$-tori as the only normal compact comple
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da4959327d5bd80c28fbe4ed9ed56468
https://doi.org/10.1093/imrn/rnz154
https://doi.org/10.1093/imrn/rnz154
Autor:
Patrick Graf
Fachbuch aus dem Jahr 2022 im Fachbereich Archäologie,, Sprache: Deutsch, Abstract: Die Publikation untersucht die Kalendersteine in Callanish und geht dabei insbesondere auf die Erforschung durch Henry Boyle Somerville ein. Am äusseren Rand der br
Autor:
Patrick Graf, Tim Kirschner
We provide a characterization of quotients of three-dimensional complex tori by finite groups that act freely in codimension one via a vanishing condition on the first and second orbifold Chern class. We also treat the case of actions free in codimen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be4d98aa166db79f5a921b2d90f7f7f6
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85091090390
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85091090390
Autor:
Patrick Graf
Fachbuch aus dem Jahr 2022 im Fachbereich Archäologie,, Sprache: Deutsch, Abstract: Die archäoastronomische Arbeit behandelt die im Südschwarzwald gelegenen Kalendersteine am Hohfelsen bei Endenburg-Stalten. 1988 wurden sie von Johann Hügin erstm
Publikováno v:
International Mathematics Research Notices. 2019:4325-4339
We prove that a strongly $F$-regular scheme $X$ admits a finite, generically Galois, and étale-in-codimension-one cover $\tilde X \to X$ such that the étale fundamental groups of $\tilde X$ and $\tilde X_{{\mathrm{reg}}}$ agree. Equivalently, every
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b1917333103c1e8752d63abae6d1101
https://doi.org/10.1093/imrn/rnx253
https://doi.org/10.1093/imrn/rnx253
Autor:
Patrick Graf
Publikováno v:
Mathematische Annalen. 371:487-516
We prove that for a compact K\"ahler threefold with canonical singularities and vanishing first Chern class, the projective fibres are dense in the semiuniversal deformation space. This implies that every K\"ahler threefold of Kodaira dimension zero
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4785d107b483280461553cb118549215
https://doi.org/10.1007/s00208-017-1577-4
https://doi.org/10.1007/s00208-017-1577-4
Autor:
Patrick Graf
We show that any p-form on the smooth locus of a normal complex space extends to a resolution of singularities, possibly with logarithmic poles, as long as $$p \le \mathrm {codim}_{X}({X}_{\mathrm {sg}}) - 2$$ . A stronger version of this result, all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76648ed4088926ae84498a92b1441284
http://arxiv.org/abs/1905.01983
http://arxiv.org/abs/1905.01983