Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Bernd Siebert"'
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
Autor:
Mark Gross, Bernd Siebert
Publikováno v:
Inventiones Mathematicae
As announced "Intrinsic mirror symmetry and punctured invariants" in 2016, we construct and prove consistency of the canonical wall structure. This construction starts with a log Calabi-Yau pair (X,D) and produces a wall structure, as defined by Gros
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2683339b87433ba8927bfbbb8846c91d
Publikováno v:
Oberwolfach Reports. 14:2703-2767
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf02d2368b7b0378aa23349abe98dc05
https://doi.org/10.4171/owr/2017/45
https://doi.org/10.4171/owr/2017/45
Autor:
Mark Gross, Bernd Siebert
Publikováno v:
Algebraic Geometry: Salt Lake City 2015. :199-230
This contribution to the 2015 AMS Summer Institute in Algebraic Geometry (Salt Lake City) announces a general mirror construction. This construction applies to log Calabi-Yau pairs (X,D) with maximal boundary D or to maximally unipotent degenerations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dd2de0f549e0270743f6de05f391d7f
https://doi.org/10.1090/pspum/097.2/01705
https://doi.org/10.1090/pspum/097.2/01705
View the abstract.
Autor:
Bernd Siebert, Helge Ruddat
We give a simple expression for the integral of the canonical holomorphic volume form in degenerating families of varieties constructed from wall structures and with central fiber a union of toric varieties. The cycles to integrate over are construct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d300fbee6485d8f28a27cc84b3be313
Publikováno v:
Oberwolfach Reports. 10:1563-1627
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5de1f9fba6be5c6a1fc945aad5d1129e
https://doi.org/10.4171/owr/2013/27
https://doi.org/10.4171/owr/2013/27
Autor:
Mark Gross, Bernd Siebert
Publikováno v:
Surveys in Differential Geometry. 16:43-78
This is an expository paper which explores the ideas of the authors' paper "From Affine Geometry to Complex Geometry", arXiv:0709.2290. We explain the basic ideas of the latter paper by going through a large number of concrete, increasingly complicat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44b5fd4280bf7934e6821cb7801af46b
https://doi.org/10.4310/sdg.2011.v16.n1.a2
https://doi.org/10.4310/sdg.2011.v16.n1.a2
Autor:
Bernd Siebert, Mark Gross
Publikováno v:
Journal of Algebraic Geometry. 19:679-780
This paper continues the authors' program of studying mirror symmetry via log geometry and toric degenerations, relating affine manifolds with singularities, log Calabi-Yau spaces, and toric degenerations of Calabi-Yaus. The main focus of this paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9518c9d74ef0d7fbc22526ef33dd4d44
https://doi.org/10.1090/s1056-3911-2010-00555-3
https://doi.org/10.1090/s1056-3911-2010-00555-3