Step 1: Concept
'Kavirajamarga', an important work on poetics, was authored by Amoghavarsha I, a ruler of the Rashtrakuta dynasty. This text is significant for its detailed discussion on literary theory and aesthetics.
Step 2: Meaning
The term 'Kavirajamarga' refers to a treatise on poetics written in Sanskrit during the medieval period. It provides insights into the principles of poetry and poetic composition, reflecting the cultural and intellectual milieu of the Rashtrakuta era.
Step 3: Analysis
To prove that Amoghavarsha is the correct author, we need to consider historical context and literary contributions:
Amoghavarsha I ruled from 814 CE to 878 CE, during which he patronized literature and arts.
'Kavirajamarga' was composed in the early 9th century, aligning with Amoghavarsha's reign.
The text is known for its comprehensive coverage of poetics, which fits the scholarly interests of a king like Amoghavarsha who supported literary endeavors.
Option A (Krishna I) ruled earlier than Amoghavarsha and did not author 'Kavirajamarga'.
Option B (Dantidurga) was an early ruler of the Rashtrakuta dynasty but is not credited with this work.
Option D (Krishna III) reigned much later, in the 10th century, making him unlikely to be the author.
Step 4: Conclusion
Based on historical evidence and the specific time period during which 'Kavirajamarga' was written, Amoghavarsha I is the correct author of this text.
Final Answer: (C)