Siebert, Bernd
- On Quantum Cohomology Rings of Fano Manifolds and a Formula of Vafa and Intriligator
1994/03/12 by Bernd Siebert, Gang Tian, Siebert, Bernd +1 · 12 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #alg-geom #math.AG
- Logarithmic Gromov-Witten invariants
2011/02/21 by Mark Gross, Gross, Mark, Bernd Siebert +1 · 6 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology #math.AG
- Toric degenerations of toric varieties and tropical curves
2004/09/04 by Takeo Nishinou, Nishinou, Takeo, Bernd Siebert +1 · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #14M25 #14N10 #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math.AG #msc:14M25 #msc:14N10 #msc:14N35
- Mirror Symmetry via Logarithmic Degeneration Data I
2003/09/04 by Mark Gross, Gross, Mark, Bernd Siebert +1 · 6 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #math.AG #math.DG #msc:14J32
- Decomposition of degenerate Gromov-Witten invariants
2017/09/28 by Dan Abramovich, Abramovich, Dan, Qile Chen +5 · 7 citations
Mathematics · Chemistry · Biochemistry, Genetics and Molecular Biology · #Algebraic Geometry and Number Theory #Synthesis and pharmacology of benzodiazepine derivatives #Biological Activity of Diterpenoids and Biflavonoids
- Affine manifolds, log structures, and mirror symmetry
2002/11/05 by Mark Gross, Bernd Siebert, Gross, Mark +1 · 2 citations
Mathematics · #14J32 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14J32
- On the holomorphicity of genus two Lefschetz fibrations
2003/05/24 by Bernd Siebert, Gang Tian, Siebert, Bernd +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.SG
- Period integrals from wall structures via tropical cycles, canonical\n coordinates in mirror symmetry and analyticity of toric degenerations
2019/07/08 by Helge Ruddat, Ruddat, Helge, Bernd Siebert +1 · 3 citations
Mathematics · Physics and Astronomy · #14H15 #14J32 #14J33 #14M25 #32G20 #32Q25 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Symplectic Geometry (math.SG)
- Theta functions on varieties with effective anti-canonical class
2016/01/26 by Mark D. Gross, Gross, Mark, Paul Hacking +3 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds
- Intrinsic mirror symmetry and punctured Gromov-Witten invariants
2016/09/02 by Mark Gross, Bernd Siebert, Gross, Mark +1 · 2 citations
Mathematics · #14J32 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology
- Algebraic and symplectic Gromov-Witten invariants coincide
1998/04/22 by Bernd Siebert, Siebert, Bernd · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.AG #math.GT #math.SG
- Mirror Symmetry via Logarithmic Degeneration Data II
2007/09/14 by Mark Gross, Gross, Mark, Bernd Siebert +1 · 2 citations
Mathematics · #14J32 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14J32
- Gromov-Witten invariants of general symplectic manifolds
1996/08/12 by Bernd Siebert, Siebert, Bernd · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #alg-geom #dg-ga #math.AG #math.DG
- Theta functions and mirror symmetry
2012/04/09 by Mark Gross, Gross, Mark, Bernd Siebert +1 · 1 citation
Mathematics · #14J33 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14J33
- Intrinsic Mirror Symmetry
2019/09/17 by Mark Gross, Gross, Mark, Bernd Siebert +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #14J33 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Nonlinear Waves and Solitons