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An important goal of helio- and asteroseismology is to improve the modelling of stellar evolution. Here I provide a brief discussion of some of the uncertain issues in stellar modelling, of possible relevance to asteroseismic inferences.

Solar and Stellar Astrophysics · Physics 2009-12-09 J. Christensen-Dalsgaard

We review the basic concepts, the present state of theoretical models, and the future prospects for theory and observations of pulsating stellar atmospheres. Our emphasis is on radially pulsating cool stars, which dynamic atmospheres…

Astrophysics · Physics 2007-05-23 Dimitar D. Sasselov

In this introductory chapter of the Special Issue entitled `The Structure and Evolution of Stars', we highlight the recent major progress made in our understanding in the physics that governs stellar interiors. In so doing, we combine…

Solar and Stellar Astrophysics · Physics 2023-08-28 Dominic M. Bowman , Jennifer van Saders , Jorick S. Vink

The majority of star formation results in binaries or higher multiple systems, and planets in such systems are constrained to a limited range of orbital parameters in order to remain stable against perturbations from stellar companions.…

Earth and Planetary Astrophysics · Physics 2024-07-22 Billy Quarles , Hareesh Gautham Bhaskar , Gongjie Li

We introduce a class of orders on $P^d$ called Geigle-Lenzing orders and show that they have tilting bundles. Moreover we show that their module categories are equivalent to the categories of coherent sheaves on Geigle-Lenzing spaces…

Representation Theory · Mathematics 2015-08-13 Osamu Iyama , Boris Lerner

It is argued that apart from the well known dependence of the Am phenomenon on the mass, age (effective temperature, gravity) and rotation there is also a complex dependence on the orbital parameters in binary systems. This is why the…

Astrophysics · Physics 2007-11-29 I. Iliev , J. Budaj

We highlight recent theoretical and observational progress in several areas of neutron star astrophysics, and discuss the prospect for advances in the next decade.

Recent progress in the studies of pulsating variable stars is summarized from an observational point of view. A number of unexpected phenomena have been revealed in the case of pulsators in the classical instability strip. These discoveries…

Solar and Stellar Astrophysics · Physics 2019-06-11 L. Szabados

X-ray binary systems consist of a companion star and a compact object in close orbit. Thanks to their copious X-ray emission, these objects have been studied in detail using X-ray spectroscopy and timing. The inclination of these systems is…

In this course we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author's book joint with F. Str{\"o}mberg [1].

Number Theory · Mathematics 2018-10-01 Henri Cohen

We enrich the setting of strongly stable ideals (SSI): We introduce shift modules, a module category encompassing SSI's. The recently introduced duality on SSI's is given an effective conceptual and computational setting. We study strongly…

Commutative Algebra · Mathematics 2023-02-22 Gunnar Fløystad

This paper studies the existence of and compatibility between derived change of ring, balanced product, and function module derived functors on module categories in monoidal model categories.

Algebraic Topology · Mathematics 2007-10-01 L. Gaunce Lewis , Michael A. Mandell

In this paper I show that the concept of relativistic beaming -- the process by which light emitted by a fast moving sources is lensed towards the direction of motion -- can be easily extended to model the signal from both the star and any…

Earth and Planetary Astrophysics · Physics 2019-09-25 Zephyr Penoyre

In this work we develop some categorical aspects of the double structure of a module.

Algebraic Geometry · Mathematics 2023-08-30 Thiago F. da Silva

We define complete stable pairs on a smooth projective variety, and construct their moduli space. These moduli spaces have natural morphisms to the moduli of stable pairs and Quot-schemes. As an example, we show that the moduli of complete…

Algebraic Geometry · Mathematics 2025-12-10 Baosen Wu

Using cluster tilting theory, we investigate tilting objects in the stable category of vector bundles on a weighted projective line of weight type $(2, 2, 2, 2)$. More precisely, a tilting object consisting of rank-two bundles is…

Representation Theory · Mathematics 2019-04-05 Jianmin Chen , Yanan Lin , Pin Liu , Shiquan Ruan

The present text surveys some relevant situations and results where basic Module Theory interacts with computational aspects of operator algebras. We tried to keep a balance between constructive and algebraic aspects.

Rings and Algebras · Mathematics 2013-12-30 José Gómez-Torrecillas

It is widely believed that central star binarity plays an important role in the formation and evolution of aspherical planetary nebulae, however observational support for this hypothesis is lacking. Here, we present the most recent results…

Solar and Stellar Astrophysics · Physics 2012-02-16 David Jones , Amy A. Tyndall , Leo Huckvale , Barnabas Prouse , Myfanwy Lloyd

The study of massive X-ray binaries provides important observational diagnostics for a number of fundamental astrophysical issues, such as the evolution of massive stars, the stellar winds of massive stars, the formation of compact objects…

Astrophysics · Physics 2007-05-23 Ignacio Negueruela

Modeling of X-ray pulse profiles from millisecond pulsars offers a promising method of inferring the mass-to-radius ratios of neutron stars. Recent observations with NICER resulted in measurements of radii for three neutron stars using this…

High Energy Astrophysical Phenomena · Physics 2024-12-18 Tong Zhao , Dimitrios Psaltis , Feryal Ozel , Elif Beklen