Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Grbner's Problem and the Geometry of GT-Varieties

Grbner's Problem and the Geometry of GT-Varieties

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783031688584
Condition
New
Product Description

This book presents progress on two open problems within the framework of algebraic geometry and commutative algebra: Grbner's problem regarding the arithmetic Cohen-Macaulayness (aCM) of projections of Veronese varieties, and the problem of determining the structure of the algebra of invariants of finite groups. We endeavour to understand their unexpected connection with the weak Lefschetz properties (WLPs) of artinian ideals. In 1967, Grbner showed that the Veronese variety is aCM and exhibited examples of aCM and nonaCM monomial projections. Motivated by this fact, he posed the problem of determining whether a monomial projection is aCM. In this book, we provide a comprehensive state of the art of Grbners problem and we contribute to this question with families of monomial projections parameterized by invariants of a finite abelian group called G-varieties. We present a new point of view in the study of Grbners problem, relating it to the WLP of Artinian ideals. GT varieties are a subclass of G varieties parameterized by invariants generating an Artinian ideal failing the WLP, called the Galois-Togliatti system. We studied the geometry of the G-varieties; we compute their Hilbert functions, a minimal set of generators of their homogeneous ideals, and the canonical module of their homogeneous coordinate rings to describe their minimal free resolutions. We also investigate the invariance of nonabelian finite groups to stress the link between projections of Veronese surfaces, the invariant theory of finite groups and the WLP. Finally, we introduce a family of smooth rational monomial projections related to G-varieties called RL-varieties. We study the geometry of this family of nonaCM monomial projections and we compute the dimension of the cohomology of the normal bundle of RL varieties. This book is intended to introduce Grbners problem to young researchers and provide new points of view and directions for further investigations.

Available Colors
Available Sizes
1 Offer Price Range: $109.00 - $109.00
BEST PRICE

Single Product Purchase

$109.00
@ Link.springer.com     BUY Now

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$109.00 $109.00

$109.00
See Site In stock Visit Store

Similar Products

Mehr Schein als Sein?

$24.99

Progress in Ultrafast Intense Laser Science II

$84.99

Production Planning and Scheduling in Flexible Assembly Systems

$84.99

Camp Mickey and Minnie: One Wild Summer Book Official shopDisney

$17.99

Teaching Anatomy

$129.00

Fiskalpolitik

$69.99

Public Interest Groups im politischen System der USA

$59.99

Gut gepackt Kein Bit zu viel

$17.99

Beschftigung von Flchtlingen

$17.99

Basic Classes of Linear Operators

$99.99

Technological Transformation in the Global Pulp and Paper Industry 18002018

$219.99

Synthetic Datasets for Statistical Disclosure Control

$99.00

The Semantic Web

$54.99

Hombre Perro: Cumbres maternales (Dog Man) (Hardcover)

$9.74

The Politics of Soft Hindutva

$129.99

Pediatric Malignancies: Pathology and Imaging

$109.99

Persnlichkeit und Fhrung

$17.99

Applied Time Series Analysis and Innovative Computing

$109.99

Contemporary Womens Ghost Stories

$89.00

Business Process Management Workshops

$39.99

Georeferenziertes Disponieren mit nutzerfreundlichen, mobilen und stationren Multi-Touch-Systemen

$49.99

Handbook of Parent-Implemented Interventions for Very Young Children with Autism

$299.99

Gottlob Frege

$79.99

Beitrag zur Theorie des Strahlungsfeldes dielektrischer Antennen

$59.99

Optimization, Dynamics, and Economic Analysis

$39.99

Constitutional Rights and New Technologies

$54.99

Koedukation Jungenschule auch fr Mdchen?

$44.99

Unconventional Hydrocarbon Reservoirs: Coal and Shale

$179.99

Maritime Safety Law and Policies of the European Union and the United States of America: Antagonism

$109.99

Advanced Techniques in Biophysics

$169.00

Virtual Reality in Manual Order Picking

$79.99

Natural Language Processing and Chinese Computing

$89.00

Dynamical Systems in Applications

$219.99

Frequency Selective Surfaces based High Performance Microstrip Antenna

$54.99

ber den Begriff der Tradition

$49.99

Die Rolle freiberuflicher Hebammen in Netzwerken Frhe Hilfen

$54.99

Theory of Topological Structures

$84.99

Klinische Onkologie

$74.99

Telefontraining in Banken

$54.99

Jrgen Habermas

$39.99