Advanced Algebraic Geometry and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 30 September 2024 | Viewed by 1328
Special Issue Editor
Interests: algebraic geometry: projective equations and syzygies, vector bundles, projective surfaces and higher dimensional varieties, deformation theory of schemes and morphisms
Special Issue Information
Dear Colleagues,
Algebraic geometry is a classical, central area of mathematics, tracing its origins to many centuries ago. This discipline has evolved over the decades from many different approaches—algebraic, analytic, local, global, etc.—gaining depth, scope, and sophistication and building new or strengthening existing connections and imbrications with many other areas of mathematics, such as commutative algebra, computer algebra, number theory, differential geometry, complex analysis, topology, and mathematical physics, among others. At the same time, algebraic geometry has produced applications in several fields, such as cryptography, code theory, phylogenetics, integer programming, and statistics, to name just a few.
The aim of this Special Issue of Mathematics is to show a glimpse of all these different perspectives and flavors, from the most classical themes that should never become old-fashioned to the newest trends in the field. Thus, we cordially invite you to present your recent contributions to this Special Issue.
Dr. Francisco Javier Gallego
Guest Editor
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- projective equations, free resolutions and syzygies
- algebraic curves, moduli, Brill–Noether theory
- surfaces and higher dimensional varieties, varieties of general type, moduli, Calabi–Yau manifolds
- birational geometry
- vector bundles
- deformation theory of morphisms and schemes, fibrations, degenerations
- subvarieties and subschemes of projective space
- Grassmanians, homogeneous spaces
