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Kawakami Lab
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The lab explores algebraic varieties in positive characteristic from both local and global perspectives.
AboutAbout the lab
Studying algebraic varieties in positive characteristic
The Kawakami Lab studies algebraic varieties in positive characteristic, in the field of algebraic geometry.
The lab studies algebraic varieties from both local and global perspectives.
The lab is particularly interested in methods that use Frobenius morphisms and Cartier operators.
Key terms
- Algebraic variety
- A geometric object formed as the set of solutions to polynomial equations.
- Positive characteristic
- A property of number systems in which adding 1 to itself a certain prime number of times gives 0. Arithmetic with remainders after division by a prime is one example.
- Frobenius morphism
- A map that raises each coordinate to the p-th power, where p is the prime equal to the characteristic. It is a tool unique to the world of positive characteristic.
ResearchResearch themes
The lab studies algebraic varieties in positive characteristic, in the field of algebraic geometry. It approaches them from both local and global perspectives, with a particular interest in methods that use Frobenius morphisms and Cartier operators.
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MembersFaculty
- Associate ProfessorTatsuro KawakamiPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “BarthSextic” Mike Williams / Public domain (cropped)
- Algebraic varieties in positive characteristic: “Elliptic curve y^2=x^3-x on finite field Z 61” Technopop.tattoo / Public domain (cropped)
- Related lab (Ito Lab): “Tetrahedroid” Salix alba / CC BY-SA 4.0 (cropped)
- Related lab (Oguiso Lab): “Calabi yau” Jbourjai / Public domain (cropped)
- Related lab (Kelly Lab): “Spectral Sequence Visualization” L.penguu / CC BY-SA 4.0 (cropped)
- Related lab (Gongyo Lab): “Mathematisches-Gipsmodell.Fläche3.Ordnung - Kopie” Museopedia / CC BY-SA 4.0 (cropped)
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