Irreducible symplectic varieties via relative Prym varieties

Key Points

• Irreducible symplectic varieties are constructed using relative Prym varieties, highlighting their intricate geometric properties.
• Key metrics indicate that these varieties can have complex structures influenced by deformation theory and moduli spaces.
• The analysis employs techniques from algebraic geometry to explore these relationships and their broader implications.
• This work may enable new pathways for research in algebraic geometry, especially in understanding moduli spaces and their connections.