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Combinatorial Algebraic Geometry

Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels

Aldo Conca, Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels, Filippo Viviani (Autoren)

Buch | Softcover

VII, 239 Seiten

2014
Springer International Publishing (Verlag)
978-3-319-04869-7 (ISBN)

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Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.

Koszul algebras, Koszul homology and syzygies
Infinite-dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry
Linear Toric fibrations and Cayley polytopes
Toroidal compactifications and tropicalizations of moduli spaces.

Erscheint lt. Verlag	3.6.2014
Reihe/Serie	Lecture Notes in Mathematics ; 2108
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	390 g
Einbandart	Paperback
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
Schlagworte	11H55,13D02,13P25,14H10,14M25,16S37,52B20,62F10 • algebraic statistics • combinatorics • Equivariant Ideals • Koszul Algebra • Symmetric Manifolds • Toric Varieties
ISBN-10	3-319-04869-4 / 3319048694
ISBN-13	978-3-319-04869-7 / 9783319048697
Zustand	Neuware