Algebraic Geometry Commons™
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Recent Articles in Algebraic Geometry
Symbolic Powers Of Ideals In K[PN], Michael Janssen 
University of Nebraska - Lincoln
Symbolic Powers Of Ideals In K[PN], Michael Janssen
Dissertations, Theses, and Student Research Papers in Mathematics
Let I ⊆ k[PN] be a homogeneous ideal and k an algebraically closed field. Of particular interest over the last several years are ideal containments of symbolic powers of I in ordinary powers of I of the form I(m) ⊆ Ir, and which ratios m/r guarantee such containment. A result of Ein-Lazarsfeld-Smith and Hochster-Huneke states that, if I ⊆ k[PN], where k is an algebraically closed field, then the symbolic power I(Ne) is contained in the ordinary power Ie, and thus, whenever m/r ≥ N we have the containment I(m) ⊆ Ir. Therefore ...
Propeller, Joel Kahn 
Claremont Colleges
Propeller, Joel Kahn
The STEAM Journal
This image is based on several different algorithms interconnected within a single program in the language BASIC-256. The fundamental structure involves a tightly wound spiral working outwards from the center of the image. As the spiral is drawn, different values of red, green and blue are modified through separate but related processes, producing the changing appearance. Algebra, trigonometry, geometry, and analytic geometry are all utilized in overlapping ways within the program. As with many works of algorithmic art, small changes in the program can produce dramatic alterations of the visual output, which makes lots of variations possible.
Geometry Curriculum For High School Students During A Summer School Program, Kyle E. Kucsmas 
The College at Brockport: State University of New York
Geometry Curriculum For High School Students During A Summer School Program, Kyle E. Kucsmas
Education and Human Development Master's Theses
This geometry curriculum project was designed to be used during a high school summer school credit recovery program. The National Council of Teachers of Mathematics (NCTM), New York State (NYS) Learning Standards for Mathematics, Science, and Technology (MST), and the most recent addition of the Common Core Learning Standards (CCSL) harbor the foundations for each lesson. The curriculum presented will provide teachers with a condensed standards based instrument that can be utilized during a twenty-two day summer school geometry program which contains mathematical content, appropriate rigor, and opportunities for student growth. The curriculum is engaging, obtainable, cyclical, and diverse enough ...
Popular Institutions
Popular Authors
Joseph Kimeu
Western Kentucky University
ron myers
Florida International University
Mehmet Isik
University of Pennsylvania
Cecylia Bocovich
Macalester College
Micah Leamer
University of Nebraska - Lincoln
Pranav Pandit
University of Pennsylvania
Dragos Deliu
University of Pennsylvania
Kyle Kucsmas
The College at Brockport: State University of New York
William Lindsay
University of Connecticut
Tobias Dyckerhoff
University of Pennsylvania
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Popular Articles
Fractional Calculus: Definitions And Applications, Joseph Kimeu
The Effects Of The Use Of Technology In Mathematics Instruction On Student Acheivement, ron myers
The Derived Category And The Singularity Category, Mehmet Isik
Elliptic Curves Of High Rank, Cecylia Bocovich
Homology Of Artinian Modules Over Commutative Noetherian Rings, Micah Leamer
Homological Projective Duality For Gr(3,6), Dragos Deliu
Moduli Problems In Derived Noncommutative Geometry, Pranav Pandit
Geometry Curriculum For High School Students During A Summer School Program, Kyle Kucsmas
Weierstrass Points On Families Of Graphs, William Lindsay
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