Combinatorial Structures in Algebra and Geometry : NSA 26, Constanța, Romania, August 26–September 1, 2018. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Dumitru I. Stamate, Tomasz Szemberg

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Stamate, Dumitru I.
• Szemberg, Tomasz.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 331

ISBN:

9783030521110 [3030521117]    

注記:

Nearly normally torsionfree ideals (Andrei-Ciobanu) -- Gröbner-nice pairs of ideals (Stamate) -- Veneroni maps (Tutaj-Gasi´nska et al.) -- On the symbolic powers of binomial edge ideals (Herzog et al.) -- Multigraded Betti numbers of some path ideals (Erey) -- Depth of an initial ideal (Tsuchiya et al.) -- Asymptotic behavior of symmetric ideals: A brief survey (Römer et al.) -- On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra (Sanyal et al.) -- The Bass-Quillen Conjecture and Swan’s question (Popescu) -- Licci level Stanley-Reisner ideals with height three and with type two (Yoshida et al.) -- Homological and combinatorial properties of powers of cover ideals of graphs (Fakhari) -- Fermat-type arrangements (Szpond).
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and mu

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