Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Dan Abramovich"'
Autor:
Ya Deng, Dan Abramovich
Publikováno v:
Journal of the European Mathematical Society. 24:2315-2359
For smooth families with maximal variation, whose general fibers have semi-ample canonical bundle, the generalized Viehweg hyperbolicity conjecture states that the base spaces of such families are of log general type. This deep conjecture was recentl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd1547989ad304875a13a8a41f50ee49
https://doi.org/10.4171/jems/1152
https://doi.org/10.4171/jems/1152
Publikováno v:
Compositio Mathematica. 156:2020-2075
We prove a decomposition formula of logarithmic Gromov–Witten invariants in a degeneration setting. A one-parameter log smooth family $X \longrightarrow B$ with singular fibre over $b_0\in B$ yields a family $\mathscr {M}(X/B,\beta ) \longrightarro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::311b18104c72083dcdcd54724fc42708
https://doi.org/10.1112/s0010437x20007393
https://doi.org/10.1112/s0010437x20007393
Publikováno v:
Oberwolfach Reports. 16:1639-1695
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c2c2e29f6dd35cbf2915bbde4df9ca0
https://doi.org/10.4171/owr/2019/27
https://doi.org/10.4171/owr/2019/27
Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essent
Publikováno v:
Algebra Number Theory 14, no. 8 (2020), 2001-2035
We show that any toroidal DM stack $X$ with finite diagonalizable inertia possesses a maximal toroidal coarsening $X_{tcs}$ such that the morphism $X\to X_{tcs}$ is logarithmically smooth. Further, we use torification results of [AT17] to construct a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e19cd2d18bd22f823ed8de133465cd1b
https://projecteuclid.org/euclid.ant/1605150047
https://projecteuclid.org/euclid.ant/1605150047
Publikováno v:
Advances in Mathematics. 329:523-540
Assuming Lang's conjecture, we prove that for a fixed prime $p$, number field $K$, and positive integer $g$, there is an integer $r$ such that no principally polarized abelian variety $A/K$ of dimension $g$ has full level $p^r$ structure. To this end
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd55dfb96ae86aeb16ce9d3b9260ebbc
https://doi.org/10.1016/j.aim.2017.12.023
https://doi.org/10.1016/j.aim.2017.12.023
Autor:
Jonathan Wise, Dan Abramovich
Publikováno v:
Compositio Mathematica. 154:595-620
Gromov–Witten invariants have been constructed to be deformation invariant, but their behavior under other transformations is subtle. We show that logarithmic Gromov–Witten invariants are also invariant under appropriately defined logarithmic mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4c99be105726d4e852e7b743bec32f9
https://doi.org/10.1112/s0010437x17007667
https://doi.org/10.1112/s0010437x17007667
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 30:525-532
We introduce a qualitative conjecture, in the spirit of Campana, to the effect that certain subsets of rational points on a variety over a number field, or a Deligne-Mumford stack over a ring of S-integers, cannot be Zariski dense. The conjecture int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ffc308e1e0a785463f84247428c9ce2
https://doi.org/10.5802/jtnb.1037
https://doi.org/10.5802/jtnb.1037
Autor:
Dan Abramovich
Publikováno v:
Proceedings of the International Congress of Mathematicians (ICM 2018).
We discuss Hironaka's theorem on resolution of singularities in charactetistic 0 as well as more recent progress, both on simplifying and improving Hironaka's method of proof and on new results and directions on families of varieties, leading to join
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfd7911e0eba82f004d8c879596fd3aa
https://doi.org/10.1142/9789813272880_0066
https://doi.org/10.1142/9789813272880_0066
Autor:
Michael Temkin, Dan Abramovich
Publikováno v:
Algebra Number Theory 13, no. 2 (2019), 379-424
We prove functorial weak factorization of projective birational morphisms of regular quasi-excellent schemes in characteristic 0 broadly based on the existing line of proof for varieties. From this general functorial statement we deduce factorization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f567615225c92e8b1d7de04834251caf
https://projecteuclid.org/euclid.ant/1553565646
https://projecteuclid.org/euclid.ant/1553565646