Concept

Associated graded ring

Related publications (11)

Multigraded algebras and multigraded linear series

Leonid Monin, Fatemeh Mohammadi, Yairon Cid Ruiz

This paper is devoted to the study of multigraded algebras and multigraded linear series. For an Ns

\mathbb {N}s

-graded algebra A

A

, we define and study its volume function FA:N+s -> R

F_A:\mathbb {N}_+s\rightarrow \mathbb {R}

, which computes the ...

Wiley2024

GLOBALLY plus -REGULAR VARIETIES AND THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN MIXED CHARACTERISTIC

Zsolt Patakfalvi, Joseph Allen Waldron

We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are greater than five. In doing this, we generalize the theory of global F-regularity to mixed characteristic and identify certain stable sections of adjoint lin ...

SPRINGER HEIDELBERG2023

Influence of pore-scale heterogeneity on the precipitation patterns in Microbially Induced Calcite Precipitation (MICP)

Ariadni Elmaloglou

The principle of tailoring material properties to improve the mechanical behaviour of soils through compaction or cement grouting dates to the 60s. The increasing trends of urbanization worldwide require new solutions for the development of resilient and s ...

EPFL2023

Applications of one-point extensions to compute the A∞-(co)module structure of several Ext (resp., Tor) groups

Let A be a nonnegatively graded connected algebra over a noncommutative separable k-algebra K, and let M be a bounded below graded right A-module. If we denote by T the -coalgebra , we know that there exists an -comodule structure on over T. The structure ...

2019

Multisensory perceptual awareness: Categorical or graded?

Olaf Blanke, Nathan Quentin Faivre, Jean-Paul Noel

Neural evidence suggests that mechanisms associated with conscious access (i.e., the ability to report on a conscious state) are “all-or-none”. Upon crossing some threshold, neural signals are globally broadcast throughout the brain and allow conscious rep ...

2019

A higher homotopic extension of persistent (co)homology

Our objective is to show a possibly interesting structure of homotopic nature appearing in persistent (co)homology. Assuming that the filtration of a simplicial set embedded in induces a multiplicative filtration on the dg algebra of simplicial cochains, w ...

2018

Functionally graded polymer nanocomposites using magnetic fields

Tommaso Nardi

Functionally Graded Materials (FGM) are a class of materials in which the composition and the properties gradually change over the volume. The present PhD project aims to generate a full understanding of a novel synthetic strategy for polymeric FGMs based ...

EPFL2015

Growth of graded doped Si/SiGe Heterostructure Tunnel FET

Arnab Biswas

Tunnel FETs are the most promising ultra low power devices due to their potential of steeper subthreshold slopes and capability of using very low drive voltages. Switching is based on quantum mechanical band to band tunneling and no longer on thermal emiss ...

2013

Design and fabrication of compositionally graded inorganic oxide thin films: Mechanical, optical and permeation characteristics

Yves Leterrier, Xavier Bulliard, Ji Hyun Kim

Different types of inorganic oxide films composed of a chemical composition gradient single layer were designed, fabricated and characterized. Compositionally graded thin films were created by power-controlled co-sputtering of alumina (Al2O3) and silica (S ...

Elsevier2010

How Does Plant Diversity Affect Soil Aggregate Stability and Erosion Processes in Disturbed Alpine Ecosystems?

Plant species diversity is hypothesized to be among the most relevant factors for enhancing soil stability in disturbed sites at high elevation. Because a more diverse plant community may comprise a high number of plant species of different growth forms, p ...

EPFL2010

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