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Author | : Johannes Rau |
Publisher | : Sudwestdeutscher Verlag Fur Hochschulschriften AG |
Total Pages | : 200 |
Release | : 2010-03 |
Genre | : |
ISBN | : 9783838114286 |
Download Tropical Intersection Theory and Gravitational Descendants Book in PDF, ePub and Kindle
In this publication a tropical intersection theory is established with analogue notions and tools as its algebro-geometric counterpart. The developed theory, interesting as a subfield of convex geometry on its own, shows many relations to the intersection theory of toric varieties and other fields. In the second chapter, tropical intersection theory is used to define and study tropical gravitational descendants (i.e. Gromov-Witten invariants with incidence and "Psi-class" factors). It turns out that many concepts of the classical Gromov-Witten theory such as the WDVV equations can be carried over to the tropical world.
Author | : Lars Allermann |
Publisher | : |
Total Pages | : 226 |
Release | : 2010 |
Genre | : |
ISBN | : |
Download Tropical Intersection Theory Book in PDF, ePub and Kindle
Author | : Kristin Shaw |
Publisher | : |
Total Pages | : 122 |
Release | : 2011 |
Genre | : |
ISBN | : |
Download Tropical Intersection Theory and Surfaces Book in PDF, ePub and Kindle
Author | : Simon Hampe |
Publisher | : |
Total Pages | : 0 |
Release | : 2014 |
Genre | : |
ISBN | : |
Download Algorithmic Aspects of Tropical Intersection Theory Book in PDF, ePub and Kindle
Author | : Henning Meyer |
Publisher | : Sudwestdeutscher Verlag Fur Hochschulschriften AG |
Total Pages | : 100 |
Release | : 2011 |
Genre | : Tropical geometry |
ISBN | : 9783838127002 |
Download Intersection Theory on Compact Tropical Toric Varieties Book in PDF, ePub and Kindle
We study toric varieties over the tropical semifield. We define tropical cycles inside these toric varieties and extend the stable intersection of tropical cycles in real n-space to these toric varieties. In particular, we show that every tropical cycle can be degenerated into a sum of torus-invariant cycles. This allows us to tropicalize algebraic cycles of toric varieties over an algebraically closed field with non-Archimedean valuation. We see that the tropicalization map is a homomorphism on cycles and an isomorphism on cycle classes. Furthermore, we can use projective toric varieties to compactify known tropical varieties and study their combinatorics. We do this for the tropical Grassmannian in the Plucker embedding and compactify the tropical parameter space of rational degree d curves in tropical projective space using Chow quotients of the tropical Grassmannian."
Author | : Zhi Jin |
Publisher | : |
Total Pages | : |
Release | : 2019 |
Genre | : |
ISBN | : |
Download Tropical Intersection Theory on Moduli Stack of Curve Coverings Book in PDF, ePub and Kindle
Author | : Erwan Brugalle |
Publisher | : American Mathematical Soc. |
Total Pages | : 363 |
Release | : 2013-05-23 |
Genre | : Mathematics |
ISBN | : 0821891464 |
Download Algebraic and Combinatorial Aspects of Tropical Geometry Book in PDF, ePub and Kindle
This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12-16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain. Tropical geometry is a new and rapidly developing field of mat
Author | : Henning Meyer |
Publisher | : |
Total Pages | : 87 |
Release | : 2011 |
Genre | : |
ISBN | : |
Download Intersection Theory on Tropical Toric Varieties and Compactifications of Tropical Parameter Spaces Book in PDF, ePub and Kindle
Author | : Gretchen Rimmasch |
Publisher | : |
Total Pages | : 150 |
Release | : 2008 |
Genre | : Curves, Plane |
ISBN | : |
Download Complete Tropical Bezout's Theorem and Intersection Theory in the Tropical Projective Plane Book in PDF, ePub and Kindle
In this dissertation we prove a version of the tropical Bezout's theorem which is applicable to all tropical projective plane curves. There is a version of tropical Bezout's theorem presented in other works which applies in special cases, but we provide a proof of the theorem for all tropical projective plane curves. We provide several different definitions of intersection multiplicity and show that they all agree. Finally, we will use a tropical resultant to determine the intersection multiplicity of points of intersection at infinite distance. Using these new definitions of intersection multiplicity we prove the complete tropical Bezout's theorem.
Author | : Matthias Herold |
Publisher | : |
Total Pages | : |
Release | : 2007 |
Genre | : |
ISBN | : |
Download Intersection Theory of the Tropical Moduli Spaces of Curves Book in PDF, ePub and Kindle