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Ito Lab
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The lab studies positivity of line bundles and toric geometry within algebraic geometry.
AboutAbout the lab
Exploring positivity of line bundles through algebraic geometry
The Ito Lab studies algebraic geometry, a branch of algebra.
It focuses in particular on positivity of line bundles and toric geometry.
The University of Tsukuba's researcher directory lists algebraic geometry, positivity of line bundles, and toric varieties as research keywords.
Key terms
- Algebraic geometry
- A field of mathematics that studies shapes defined by polynomial equations using methods from algebra
- Algebraic variety
- A geometric object defined as the set of solutions of polynomial equations; the main object of study in algebraic geometry
ResearchResearch themes
Within algebraic geometry, the lab's research themes are positivity of line bundles and toric geometry. The objects of study are algebraic varieties and the line bundles on them.
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MembersFaculty
- ProfessorAtsushi Ito
VoicesStudent voices
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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: “Algebraic geometry” P.wormer / CC BY-SA 3.0 (cropped)
- Positivity of Line Bundles and Toric Geometry: “Algebraic–Geometry1” Jean Constant / CC BY-SA 4.0 (cropped)
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- Related lab (Scott Carnahan 研究室): “Math01” MathKnight ✡ (Talk) No machine-readable author provided. MathKnight assumed (based on copyright claims). / CC BY 2.5 (cropped)
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