JOURNAL OF ALGEBRAIC GEOMETRY

Scope & Guideline

Advancing the frontiers of mathematical research.

Introduction

Delve into the academic richness of JOURNAL OF ALGEBRAIC GEOMETRY with our guidelines, detailing its aims and scope. Our resource identifies emerging and trending topics paving the way for new academic progress. We also provide insights into declining or waning topics, helping you stay informed about changing research landscapes. Evaluate highly cited topics and recent publications within these guidelines to align your work with influential scholarly trends.
LanguageMulti-Language
ISSN1056-3911
PublisherUNIV PRESS INC
Support Open AccessNo
CountryUnited States
TypeJournal
Convergefrom 1996 to 2024
AbbreviationJ ALGEBRAIC GEOM / J. Algebr. Geom.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressC/O AMER MATHEMATICAL SOC, DISTRIBUTOR, 201 CHARLES ST, PROVIDENCE, RI 02940-2294

Aims and Scopes

The JOURNAL OF ALGEBRAIC GEOMETRY is dedicated to advancing the field of algebraic geometry through a wide variety of theoretical and applied research. It encompasses a range of topics that explore the interplay between algebraic structures and geometric properties, fostering a deeper understanding of both classical and contemporary issues in the discipline.
  1. Algebraic Geometry:
    The journal focuses on the study of geometric structures defined by polynomial equations, exploring their properties, classifications, and invariants.
  2. Moduli Problems:
    A significant emphasis is placed on the study of moduli spaces, which classify algebraic objects such as curves and surfaces, providing insights into their geometric and algebraic characteristics.
  3. Singularity Theory:
    Research on singularities, including their classification, resolution, and implications in algebraic geometry, is a core theme, contributing to a deeper understanding of geometric objects.
  4. Intersection Theory:
    The journal publishes papers on intersection theory, which deals with the study of how subvarieties intersect, providing crucial tools for understanding the geometry of algebraic varieties.
  5. Cohomology and Sheaf Theory:
    Papers often explore cohomological methods and sheaf theory, which are essential for understanding the properties of algebraic varieties and their morphisms.
  6. Arithmetic Geometry:
    The intersection of algebraic geometry with number theory is another focus area, highlighting the arithmetic properties of algebraic varieties and their applications.
  7. Categorical Approaches:
    The journal also examines categorical frameworks in algebraic geometry, contributing to a modern understanding of geometric concepts through categorical language.
The JOURNAL OF ALGEBRAIC GEOMETRY has seen a significant evolution in its research themes, with several emerging trends that reflect contemporary interests and advancements in the field. These trends highlight the journal's commitment to addressing cutting-edge issues in algebraic geometry.
  1. Logarithmic Geometry:
    Recent publications increasingly focus on logarithmic geometry, particularly in the context of moduli stacks and connections, indicating a growing interest in the algebraic structures that accommodate logarithmic data.
  2. Higher-Dimensional Varieties:
    There is a notable trend towards the study of higher-dimensional varieties, including K3 surfaces and Calabi-Yau manifolds, as researchers explore their intricate properties and relationships.
  3. Derived Categories and Homological Methods:
    The use of derived categories and homological methods is on the rise, reflecting a trend towards more abstract and sophisticated methods in the analysis of algebraic structures.
  4. Tropical Geometry:
    Tropical geometry is emerging as a significant area of interest, with increasing publications that explore its connections to classical algebraic geometry and its applications in enumerative geometry.
  5. Stability Conditions and Geometric Invariant Theory:
    There is a growing focus on stability conditions and their applications in geometric invariant theory, suggesting a vibrant area of research that bridges algebraic geometry and representation theory.
  6. Applications to Number Theory:
    Emerging themes also include the application of algebraic geometry to number theory, particularly through the study of moduli spaces and their arithmetic properties.

Declining or Waning

While the journal maintains a robust focus on various aspects of algebraic geometry, certain themes appear to be waning in prominence. This decline may reflect evolving interests in the field or shifts towards more contemporary topics.
  1. Traditional Algebraic Varieties:
    There is a noticeable decline in papers focused solely on classical algebraic varieties without modern techniques, suggesting a shift towards more complex or abstract geometrical objects.
  2. Elementary Techniques in Algebraic Geometry:
    Papers employing elementary techniques and methods are becoming less frequent, indicating a movement towards more sophisticated and abstract approaches.
  3. Static Examples and Case Studies:
    Research that primarily presents static examples or case studies is less common, as the community appears to favor broader theoretical advancements and applications.
  4. Basic Properties and Definitions:
    There is a reduction in papers that focus primarily on basic properties and definitions of algebraic objects, which may reflect a maturation of the field where foundational knowledge is assumed.

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