An Undergraduate Primer in Algebraic Geometry

An Undergraduate Primer in Algebraic Geometry

المؤلف
Ciro Ciliberto
سنة النشر
الناشر
لغة الملف
نوع الوثيقة
الموضوع الرئيسي / الكلية
رمز الوثيقة

This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems.The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology.



كتب مشابهة

img

AI in drug discovery

Constitutes the refereed proceedings of the First international workshop on ai in Drug Discovery, AIDD 2024, held as a part of the 33rd International Conference on Artificial Neural Networks, ICANN 2024, in Lugano, Switzerland, on September 19, 2024. These papers focus on various aspects of the rapidly evolving field of Artificial Intelligence (AI)-driven drug discovery in chemistry, including Big Data and advanced Machine Learning, eXplainable AI (XAI), Chemoinformatics, Use of deep learning to predict molecular properties, Modeling and prediction of chemical reaction data and Generative models.

img

AI in clinical practice : A guide to artificial intelligence and digital medicine

Explains how artificial intelligence is applied to medicine, illustrating not only its enormous potential but also ancillary issues and the limits and risks inherent in its use on a large scale. The book focuses on the intersection between medicine and AI and its implications on the impact of human health care delivery. Topics discussed include wearable devices, health data, Internet of Things, virtual reality, robotic assistance system, and digital intelligence in the health sector. Additionally, sections discuss diagnostics and decision-making systems and machine/deep learning in clinical setting.

img

Machine learning for cyber-physical systems: selected papers from the international conference ML4CPS 2023

Contains selected papers from the international conference ML4CPS – Machine Learning for Cyber-Physical Systems, which was held in Hamburg (Germany), from 29 to 31 March 2023. Cyber-physical systems are adaptive and learning: they analyze their environment and, based on observations, learn patterns, associations and predictive models. Typical applications are condition monitoring, predictive maintenance, image processing and diagnostics. Machine learning is the key technology for these developments.

img

Communication research into the digital society : Fundamental insights from the Amsterdam School of Communication Research

Media and communication have become ubiquitous in today’s societies andaffect all aspects of life. On an individual level, they impact how we learnabout the world, how we entertain ourselves, and how we interact withothers. On an organisational level, the interactions between media andorganisations, such as political parties, NGOs, businesses and brands, shapeorganisations’ reputation, legitimacy, trust and (financial) performance, aswell as individuals’ consumer, political, social and health behaviours. Atthe societal level, media and communication are crucial for shaping publicopinion on current issues such as climate change, sustainability, diversity,and well-being.